diff --git a/api_docs/changelog.md b/api_docs/changelog.md
index 83e550074c..3d852599e6 100644
--- a/api_docs/changelog.md
+++ b/api_docs/changelog.md
@@ -20,6 +20,15 @@ format used by the Zulip server that they are interacting with.
 
 ## Changes in Zulip 10.0
 
+**Feature level 316**
+
+* `PATCH /realm`, [`GET /events`](/api/get-events),
+  [`POST /register`](/api/register-queue):
+  Added `can_move_messages_between_topics_group` realm setting which is a
+  [group-setting value](/api/group-setting-values) describing the set of users
+  with permission to move messages from one topic to another within a channel
+  in the organization.
+
 **Feature level 315**
 
 * [POST /register](/api/register-queue), [`GET
diff --git a/version.py b/version.py
index c4dd04a563..a1d505fa9e 100644
--- a/version.py
+++ b/version.py
@@ -34,7 +34,7 @@ DESKTOP_WARNING_VERSION = "5.9.3"
 # new level means in api_docs/changelog.md, as well as "**Changes**"
 # entries in the endpoint's documentation in `zulip.yaml`.
 
-API_FEATURE_LEVEL = 315  # Last bumped for `is_archived`
+API_FEATURE_LEVEL = 316  # Last bumped for `can_move_messages_between_topics_group`
 
 # Bump the minor PROVISION_VERSION to indicate that folks should provision
 # only when going from an old version of the code to a newer version. Bump
diff --git a/web/src/message_edit.ts b/web/src/message_edit.ts
index 5e4b77e304..ed7e6107af 100644
--- a/web/src/message_edit.ts
+++ b/web/src/message_edit.ts
@@ -111,8 +111,8 @@ export function is_topic_editable(message: Message, edit_limit_seconds_buffer =
     }
 
     // Organization admins and moderators can edit message topics indefinitely,
-    // irrespective of the topic editing deadline, if edit_topic_policy allows
-    // them to do so.
+    // irrespective of the topic editing deadline, if they are in the
+    // can_move_messages_between_topics_group.
     if (current_user.is_admin || current_user.is_moderator) {
         return true;
     }
diff --git a/web/src/server_events_dispatch.js b/web/src/server_events_dispatch.js
index 7d15783a77..01f0afe75f 100644
--- a/web/src/server_events_dispatch.js
+++ b/web/src/server_events_dispatch.js
@@ -208,7 +208,6 @@ export function dispatch_normal_event(event) {
             const realm_settings = {
                 allow_edit_history: noop,
                 allow_message_editing: noop,
-                edit_topic_policy: noop,
                 avatar_changes_disabled: settings_account.update_avatar_change_display,
                 bot_creation_policy: settings_bots.update_bot_permissions_ui,
                 can_delete_any_message_group: noop,
@@ -323,7 +322,7 @@ export function dispatch_normal_event(event) {
                                     compose_recipient.check_posting_policy_for_compose_box();
                                 }
 
-                                if (key === "edit_topic_policy") {
+                                if (key === "can_move_messages_between_topics_group") {
                                     message_live_update.rerender_messages_view();
                                 }
 
diff --git a/web/src/settings_components.ts b/web/src/settings_components.ts
index ac53b7c897..c4699c2a48 100644
--- a/web/src/settings_components.ts
+++ b/web/src/settings_components.ts
@@ -238,7 +238,6 @@ export const simple_dropdown_realm_settings_schema = realm_schema.pick({
     realm_invite_to_stream_policy: true,
     realm_invite_to_realm_policy: true,
     realm_wildcard_mention_policy: true,
-    realm_edit_topic_policy: true,
     realm_org_type: true,
 });
 export type SimpleDropdownRealmSettings = z.infer<typeof simple_dropdown_realm_settings_schema>;
@@ -484,6 +483,7 @@ const dropdown_widget_map = new Map<string, DropdownWidget | null>([
     ["realm_can_delete_any_message_group", null],
     ["realm_can_delete_own_message_group", null],
     ["realm_can_move_messages_between_channels_group", null],
+    ["realm_can_move_messages_between_topics_group", null],
     ["realm_direct_message_initiator_group", null],
     ["realm_direct_message_permission_group", null],
 ]);
@@ -802,6 +802,7 @@ export function check_realm_settings_property_changed(elem: HTMLElement): boolea
         case "realm_can_delete_any_message_group":
         case "realm_can_delete_own_message_group":
         case "realm_can_move_messages_between_channels_group":
+        case "realm_can_move_messages_between_topics_group":
         case "realm_direct_message_initiator_group":
         case "realm_direct_message_permission_group":
             proposed_val = get_dropdown_list_widget_setting_value($elem);
@@ -1054,6 +1055,7 @@ export function populate_data_for_realm_settings_request(
                     "can_delete_any_message_group",
                     "can_delete_own_message_group",
                     "can_move_messages_between_channels_group",
+                    "can_move_messages_between_topics_group",
                     "create_multiuse_invite_group",
                     "direct_message_initiator_group",
                     "direct_message_permission_group",
diff --git a/web/src/settings_config.ts b/web/src/settings_config.ts
index bdfb6bcd97..609f7dbae7 100644
--- a/web/src/settings_config.ts
+++ b/web/src/settings_config.ts
@@ -311,43 +311,6 @@ export const wildcard_mention_policy_values = {
     },
 };
 
-export const common_message_policy_values = {
-    by_everyone: {
-        order: 1,
-        code: 5,
-        description: $t({defaultMessage: "Admins, moderators, members and guests"}),
-    },
-    by_members: {
-        order: 2,
-        code: 1,
-        description: $t({defaultMessage: "Admins, moderators and members"}),
-    },
-    by_full_members: {
-        order: 3,
-        code: 3,
-        description: $t({defaultMessage: "Admins, moderators and full members"}),
-    },
-    by_moderators_only: {
-        order: 4,
-        code: 4,
-        description: $t({defaultMessage: "Admins and moderators"}),
-    },
-    by_admins_only: {
-        order: 5,
-        code: 2,
-        description: $t({defaultMessage: "Admins only"}),
-    },
-};
-
-export const edit_topic_policy_values = {
-    ...common_message_policy_values,
-    nobody: {
-        order: 6,
-        code: 6,
-        description: $t({defaultMessage: "Nobody"}),
-    },
-};
-
 export const time_limit_dropdown_values = [
     {
         text: $t({defaultMessage: "Any time"}),
diff --git a/web/src/settings_data.ts b/web/src/settings_data.ts
index 11701e4a1d..bdca2ff94d 100644
--- a/web/src/settings_data.ts
+++ b/web/src/settings_data.ts
@@ -71,18 +71,7 @@ function user_has_permission(policy_value: number): boolean {
         return true;
     }
 
-    if (page_params.is_spectator) {
-        return false;
-    }
-
-    /* At present, by_everyone is not present in common_policy_values,
-     * but we include a check for it here, so that code using
-     * common_message_policy_values or other supersets can use this function. */
-    if (policy_value === settings_config.common_message_policy_values.by_everyone.code) {
-        return true;
-    }
-
-    if (current_user.is_guest) {
+    if (page_params.is_spectator || current_user.is_guest) {
         return false;
     }
 
@@ -262,7 +251,11 @@ export function user_can_add_custom_emoji(): boolean {
 }
 
 export function user_can_move_messages_to_another_topic(): boolean {
-    return user_has_permission(realm.realm_edit_topic_policy);
+    return user_has_permission_for_group_setting(
+        realm.realm_can_move_messages_between_topics_group,
+        "can_move_messages_between_topics_group",
+        "realm",
+    );
 }
 
 export function user_can_delete_any_message(): boolean {
diff --git a/web/src/settings_org.ts b/web/src/settings_org.ts
index 06a61ec1ba..5c8306d2a9 100644
--- a/web/src/settings_org.ts
+++ b/web/src/settings_org.ts
@@ -161,9 +161,7 @@ export function enable_or_disable_group_permission_settings(): void {
 type OrganizationSettingsOptions = {
     common_policy_values: SettingOptionValueWithKey[];
     wildcard_mention_policy_values: SettingOptionValueWithKey[];
-    common_message_policy_values: SettingOptionValueWithKey[];
     invite_to_realm_policy_values: SettingOptionValueWithKey[];
-    edit_topic_policy_values: SettingOptionValueWithKey[];
 };
 
 export function get_organization_settings_options(): OrganizationSettingsOptions {
@@ -174,15 +172,9 @@ export function get_organization_settings_options(): OrganizationSettingsOptions
         wildcard_mention_policy_values: settings_components.get_sorted_options_list(
             settings_config.wildcard_mention_policy_values,
         ),
-        common_message_policy_values: settings_components.get_sorted_options_list(
-            settings_config.common_message_policy_values,
-        ),
         invite_to_realm_policy_values: settings_components.get_sorted_options_list(
             settings_config.email_invite_to_realm_policy_values,
         ),
-        edit_topic_policy_values: settings_components.get_sorted_options_list(
-            settings_config.edit_topic_policy_values,
-        ),
     };
 }
 
@@ -281,27 +273,9 @@ function set_msg_edit_limit_dropdown(): void {
 
 function message_move_limit_setting_enabled(
     related_setting_name:
-        | "realm_edit_topic_policy"
+        | "realm_can_move_messages_between_topics_group"
         | "realm_can_move_messages_between_channels_group",
 ): boolean {
-    if (related_setting_name === "realm_edit_topic_policy") {
-        const setting_value_string = $<HTMLSelectOneElement>(
-            `select:not(multiple)#id_${CSS.escape(related_setting_name)}`,
-        ).val();
-        assert(setting_value_string !== undefined);
-        const setting_value = Number.parseInt(setting_value_string, 10);
-        const settings_options = settings_config.edit_topic_policy_values;
-
-        if (
-            setting_value === settings_options.by_admins_only.code ||
-            setting_value === settings_options.by_moderators_only.code ||
-            setting_value === settings_options.nobody.code
-        ) {
-            return false;
-        }
-
-        return true;
-    }
     const user_group_id = settings_components.get_dropdown_list_widget_setting_value(
         $(`#id_${related_setting_name}`),
     );
@@ -334,7 +308,9 @@ function set_msg_move_limit_setting(property_name: MessageMoveTimeLimitSetting):
 
     let disable_setting;
     if (property_name === "realm_move_messages_within_stream_limit_seconds") {
-        disable_setting = message_move_limit_setting_enabled("realm_edit_topic_policy");
+        disable_setting = message_move_limit_setting_enabled(
+            "realm_can_move_messages_between_topics_group",
+        );
     } else {
         disable_setting = message_move_limit_setting_enabled(
             "realm_can_move_messages_between_channels_group",
@@ -559,6 +535,9 @@ function update_dependent_subsettings(property_name: string): void {
         case "realm_can_move_messages_between_channels_group":
             set_msg_move_limit_setting("realm_move_messages_between_streams_limit_seconds");
             break;
+        case "realm_can_move_messages_between_topics_group":
+            set_msg_move_limit_setting("realm_move_messages_within_stream_limit_seconds");
+            break;
         case "realm_org_join_restrictions":
             set_org_join_restrictions_dropdown();
             break;
@@ -612,6 +591,7 @@ export function discard_realm_property_element_changes(elem: HTMLElement): void
         case "realm_can_delete_any_message_group":
         case "realm_can_delete_own_message_group":
         case "realm_can_move_messages_between_channels_group":
+        case "realm_can_move_messages_between_topics_group":
             assert(typeof property_value === "string" || typeof property_value === "number");
             settings_components.set_dropdown_list_widget_setting_value(
                 property_name,
@@ -1018,6 +998,13 @@ export function set_up_dropdown_widget_for_realm_group_settings(): void {
 
                 break;
             }
+            case "can_move_messages_between_topics_group": {
+                dropdown_list_item_click_callback = () => {
+                    set_msg_move_limit_setting("realm_move_messages_within_stream_limit_seconds");
+                };
+
+                break;
+            }
             // No default
         }
 
@@ -1338,30 +1325,6 @@ export function build_page(): void {
         update_message_edit_sub_settings(this.checked);
     });
 
-    $("#org-moving-msgs").on(
-        "change",
-        ".move-message-policy-setting",
-        function (this: HTMLElement) {
-            const $policy_dropdown_elem = $(this);
-            const property_name = z
-                .enum(["realm_edit_topic_policy", "realm_can_move_messages_between_channels_group"])
-                .parse(settings_components.extract_property_name($policy_dropdown_elem));
-            const disable_time_limit_setting = message_move_limit_setting_enabled(property_name);
-
-            let time_limit_setting_name: MessageMoveTimeLimitSetting;
-            if (property_name === "realm_edit_topic_policy") {
-                time_limit_setting_name = "realm_move_messages_within_stream_limit_seconds";
-            } else {
-                time_limit_setting_name = "realm_move_messages_between_streams_limit_seconds";
-            }
-
-            enable_or_disable_related_message_move_time_limit_setting(
-                time_limit_setting_name,
-                disable_time_limit_setting,
-            );
-        },
-    );
-
     $("#id_realm_org_join_restrictions").on("click", (e) => {
         // This prevents the disappearance of modal when there are
         // no allowed domains otherwise it gets closed due to
diff --git a/web/src/state_data.ts b/web/src/state_data.ts
index d9eb2b66a3..571802fe09 100644
--- a/web/src/state_data.ts
+++ b/web/src/state_data.ts
@@ -296,6 +296,7 @@ export const realm_schema = z.object({
     realm_can_delete_own_message_group: z.number(),
     realm_can_manage_all_groups: group_setting_value_schema,
     realm_can_move_messages_between_channels_group: z.number(),
+    realm_can_move_messages_between_topics_group: z.number(),
     realm_create_multiuse_invite_group: group_setting_value_schema,
     realm_date_created: z.number(),
     realm_default_code_block_language: z.string(),
@@ -321,7 +322,6 @@ export const realm_schema = z.object({
             allow_subdomains: z.boolean(),
         }),
     ),
-    realm_edit_topic_policy: z.number(),
     realm_email_auth_enabled: z.boolean(),
     realm_email_changes_disabled: z.boolean(),
     realm_emails_restricted_to_domains: z.boolean(),
diff --git a/web/src/stream_popover.js b/web/src/stream_popover.js
index 4157eb6e99..f627063061 100644
--- a/web/src/stream_popover.js
+++ b/web/src/stream_popover.js
@@ -355,7 +355,7 @@ export async function build_move_topic_to_stream_popover(
     // When the modal is opened for moving the whole topic from left sidebar,
     // we do not have any message object and so we disable the stream input
     // based on the can_move_messages_between_channels_group setting and topic
-    // input based on edit_topic_policy. In other cases, message object is
+    // input based on can_move_messages_between_topics_group. In other cases, message object is
     // available and thus we check the time-based permissions as well in the
     // below if block to enable or disable the stream and topic input.
     let disable_stream_input = !settings_data.user_can_move_messages_between_streams();
diff --git a/web/templates/settings/organization_permissions_admin.hbs b/web/templates/settings/organization_permissions_admin.hbs
index 4ae2f3da11..666eff06e5 100644
--- a/web/templates/settings/organization_permissions_admin.hbs
+++ b/web/templates/settings/organization_permissions_admin.hbs
@@ -191,12 +191,11 @@
                 </h3>
                 {{> settings_save_discard_widget section_name="moving-msgs" }}
             </div>
-            <div class="input-group">
-                <label for="realm_edit_topic_policy" class="settings-field-label">{{t "Who can move messages to another topic" }}</label>
-                <select name="realm_edit_topic_policy" id="id_realm_edit_topic_policy" class="prop-element move-message-policy-setting settings_select bootstrap-focus-style" data-setting-widget-type="number">
-                    {{> dropdown_options_widget option_values=edit_topic_policy_values}}
-                </select>
-            </div>
+
+            {{> ../dropdown_widget_with_label
+              widget_name="realm_can_move_messages_between_topics_group"
+              label=(t 'Who can move messages to another topic')
+              value_type="number" }}
 
             <div class="input-group time-limit-setting">
                 <label for="realm_move_messages_within_stream_limit_seconds" class="settings-field-label">{{t "Time limit for editing topics" }} <i>({{t "does not apply to moderators and administrators" }})</i></label>
diff --git a/web/tests/dispatch.test.js b/web/tests/dispatch.test.js
index 2656f02ea2..a518b15c62 100644
--- a/web/tests/dispatch.test.js
+++ b/web/tests/dispatch.test.js
@@ -588,10 +588,10 @@ run_test("realm settings", ({override}) => {
     override(realm, "realm_create_multiuse_invite_group", 1);
     override(realm, "realm_allow_message_editing", false);
     override(realm, "realm_message_content_edit_limit_seconds", 0);
-    override(realm, "realm_edit_topic_policy", 3);
     override(realm, "realm_authentication_methods", {Google: {enabled: false, available: true}});
     override(realm, "realm_can_add_custom_emoji_group", 1);
     override(realm, "realm_can_create_public_channel_group", 1);
+    override(realm, "realm_can_move_messages_between_topics_group", 1);
     override(realm, "realm_direct_message_permission_group", 1);
     override(realm, "realm_plan_type", 2);
     override(realm, "realm_upload_quota_mib", 5000);
@@ -601,12 +601,12 @@ run_test("realm settings", ({override}) => {
     assert_same(realm.realm_create_multiuse_invite_group, 3);
     assert_same(realm.realm_allow_message_editing, true);
     assert_same(realm.realm_message_content_edit_limit_seconds, 5);
-    assert_same(realm.realm_edit_topic_policy, 4);
     assert_same(realm.realm_authentication_methods, {
         Google: {enabled: true, available: true},
     });
     assert_same(realm.realm_can_add_custom_emoji_group, 3);
     assert_same(realm.realm_can_create_public_channel_group, 3);
+    assert_same(realm.realm_can_move_messages_between_topics_group, 3);
     assert_same(realm.realm_direct_message_permission_group, 3);
     assert_same(realm.realm_plan_type, 3);
     assert_same(realm.realm_upload_quota_mib, 50000);
diff --git a/web/tests/lib/events.js b/web/tests/lib/events.js
index 21940c2662..a395dc89ab 100644
--- a/web/tests/lib/events.js
+++ b/web/tests/lib/events.js
@@ -365,13 +365,13 @@ exports.fixtures = {
         data: {
             allow_message_editing: true,
             message_content_edit_limit_seconds: 5,
-            edit_topic_policy: 4,
             create_multiuse_invite_group: 3,
             authentication_methods: {
                 Google: {enabled: true, available: true},
             },
             can_add_custom_emoji_group: 3,
             can_create_public_channel_group: 3,
+            can_move_messages_between_topics_group: 3,
             direct_message_permission_group: 3,
             plan_type: 3,
             upload_quota_mib: 50000,
diff --git a/web/tests/popover_menus_data.test.js b/web/tests/popover_menus_data.test.js
index 61e25a3514..a7be16f87d 100644
--- a/web/tests/popover_menus_data.test.js
+++ b/web/tests/popover_menus_data.test.js
@@ -142,7 +142,6 @@ function set_page_params_no_edit_restrictions({override}) {
     override(realm, "realm_allow_edit_history", true);
     override(realm, "realm_message_content_delete_limit_seconds", null);
     override(realm, "realm_enable_read_receipts", true);
-    override(realm, "realm_edit_topic_policy", 5);
     override(realm, "realm_move_messages_within_stream_limit_seconds", null);
 }
 
@@ -168,6 +167,7 @@ test("my_message_all_actions", ({override}) => {
     set_page_params_no_edit_restrictions({override});
     override(realm, "realm_can_delete_any_message_group", everyone.id);
     override(realm, "realm_can_delete_own_message_group", everyone.id);
+    override(realm, "realm_can_move_messages_between_topics_group", everyone.id);
     override(current_user, "user_id", me.user_id);
     // Get message with maximum permissions available
     // Initialize message list
@@ -259,6 +259,8 @@ test("not_my_message_view_actions", ({override}) => {
 test("not_my_message_view_source_and_move", ({override}) => {
     set_page_params_no_edit_restrictions({override});
     override(realm, "realm_can_delete_any_message_group", everyone.id);
+    override(realm, "realm_can_move_messages_between_topics_group", everyone.id);
+    override(current_user, "user_id", me.user_id);
     // Get message that is movable with viewable source
 
     const list = init_message_list();
diff --git a/web/tests/settings_data.test.js b/web/tests/settings_data.test.js
index 668feaa0c7..1957b5e021 100644
--- a/web/tests/settings_data.test.js
+++ b/web/tests/settings_data.test.js
@@ -163,66 +163,6 @@ test_policy(
     settings_data.user_can_invite_users_by_email,
 );
 
-function test_message_policy(label, policy, validation_func) {
-    run_test(label, ({override}) => {
-        override(current_user, "is_admin", true);
-        override(realm, policy, settings_config.common_message_policy_values.by_admins_only.code);
-        assert.equal(validation_func(), true);
-
-        override(current_user, "is_admin", false);
-        override(current_user, "is_moderator", true);
-        assert.equal(validation_func(), false);
-
-        override(
-            realm,
-            policy,
-            settings_config.common_message_policy_values.by_moderators_only.code,
-        );
-        assert.equal(validation_func(), true);
-
-        override(current_user, "is_moderator", false);
-        assert.equal(validation_func(), false);
-
-        override(current_user, "is_guest", true);
-        override(realm, policy, settings_config.common_message_policy_values.by_everyone.code);
-        assert.equal(validation_func(), true);
-
-        override(realm, policy, settings_config.common_message_policy_values.by_members.code);
-        assert.equal(validation_func(), false);
-
-        override(current_user, "is_guest", false);
-        assert.equal(validation_func(), true);
-
-        override(realm, policy, settings_config.common_message_policy_values.by_full_members.code);
-        override(current_user, "user_id", 30);
-        isaac.date_joined = new Date(Date.now());
-        override(realm, "realm_waiting_period_threshold", 10);
-        settings_data.initialize(isaac.date_joined);
-        assert.equal(validation_func(), false);
-
-        isaac.date_joined = new Date(Date.now() - 20 * 86400000);
-        settings_data.initialize(isaac.date_joined);
-        assert.equal(validation_func(), true);
-    });
-}
-
-test_message_policy(
-    "user_can_move_messages_to_another_topic",
-    "realm_edit_topic_policy",
-    settings_data.user_can_move_messages_to_another_topic,
-);
-
-run_test("user_can_move_messages_to_another_topic_nobody_case", ({override}) => {
-    override(current_user, "is_admin", true);
-    override(current_user, "is_guest", false);
-    override(
-        realm,
-        "realm_edit_topic_policy",
-        settings_config.edit_topic_policy_values.nobody.code,
-    );
-    assert.equal(settings_data.user_can_move_messages_to_another_topic(), false);
-});
-
 test_realm_group_settings(
     "realm_can_add_custom_emoji_group",
     settings_data.user_can_add_custom_emoji,
@@ -243,6 +183,11 @@ test_realm_group_settings(
     settings_data.user_can_move_messages_between_streams,
 );
 
+test_realm_group_settings(
+    "realm_can_move_messages_between_topics_group",
+    settings_data.user_can_move_messages_to_another_topic,
+);
+
 run_test("using_dark_theme", ({override}) => {
     override(user_settings, "color_scheme", settings_config.color_scheme_values.dark.code);
     assert.equal(settings_data.using_dark_theme(), true);
diff --git a/web/tests/settings_org.test.js b/web/tests/settings_org.test.js
index 26c58b235d..66af886a2c 100644
--- a/web/tests/settings_org.test.js
+++ b/web/tests/settings_org.test.js
@@ -439,19 +439,11 @@ function test_discard_changes_button({override}, discard_changes) {
     };
 
     override(realm, "realm_allow_edit_history", true);
-    override(
-        realm,
-        "realm_edit_topic_policy",
-        settings_config.common_message_policy_values.by_everyone.code,
-    );
     override(realm, "realm_allow_message_editing", true);
     override(realm, "realm_message_content_edit_limit_seconds", 3600);
     override(realm, "realm_message_content_delete_limit_seconds", 120);
 
     const $allow_edit_history = $("#id_realm_allow_edit_history").prop("checked", false);
-    const $edit_topic_policy = $("#id_realm_edit_topic_policy").val(
-        settings_config.common_message_policy_values.by_admins_only.code,
-    );
     const $msg_edit_limit_setting = $("#id_realm_message_content_edit_limit_seconds").val(
         "custom_period",
     );
@@ -468,7 +460,6 @@ function test_discard_changes_button({override}, discard_changes) {
     $allow_edit_history.attr("id", "id_realm_allow_edit_history");
     $msg_edit_limit_setting.attr("id", "id_realm_message_content_edit_limit_seconds");
     $msg_delete_limit_setting.attr("id", "id_realm_message_content_delete_limit_seconds");
-    $edit_topic_policy.attr("id", "id_realm_edit_topic_policy");
     $message_content_edit_limit_minutes.attr("id", "id_realm_message_content_edit_limit_minutes");
     $message_content_delete_limit_minutes.attr(
         "id",
@@ -480,7 +471,6 @@ function test_discard_changes_button({override}, discard_changes) {
         $allow_edit_history,
         $msg_edit_limit_setting,
         $msg_delete_limit_setting,
-        $edit_topic_policy,
     ]);
 
     const {$discard_button, $save_button_controls, props} = createSaveButtons("msg-editing");
@@ -494,10 +484,6 @@ function test_discard_changes_button({override}, discard_changes) {
     discard_changes.call({to_$: () => $(".save-discard-widget-button.discard-button")}, ev);
 
     assert.equal($allow_edit_history.prop("checked"), true);
-    assert.equal(
-        $edit_topic_policy.val(),
-        settings_config.common_message_policy_values.by_everyone.code,
-    );
     assert.equal($msg_edit_limit_setting.val(), "3600");
     assert.equal($message_content_edit_limit_minutes.val(), "60");
     assert.equal($msg_delete_limit_setting.val(), "120");
diff --git a/zerver/lib/event_schema.py b/zerver/lib/event_schema.py
index 694355386c..046aea37f8 100644
--- a/zerver/lib/event_schema.py
+++ b/zerver/lib/event_schema.py
@@ -1078,6 +1078,7 @@ group_setting_update_data_type = DictType(
         ("can_delete_own_message_group", group_setting_type),
         ("can_manage_all_groups", group_setting_type),
         ("can_move_messages_between_channels_group", group_setting_type),
+        ("can_move_messages_between_topics_group", group_setting_type),
         ("direct_message_initiator_group", group_setting_type),
         ("direct_message_permission_group", group_setting_type),
     ],
diff --git a/zerver/migrations/0618_realm_can_move_messages_between_topics_group.py b/zerver/migrations/0618_realm_can_move_messages_between_topics_group.py
new file mode 100644
index 0000000000..95a082159a
--- /dev/null
+++ b/zerver/migrations/0618_realm_can_move_messages_between_topics_group.py
@@ -0,0 +1,23 @@
+# Generated by Django 5.0.9 on 2024-10-25 14:21
+
+import django.db.models.deletion
+from django.db import migrations, models
+
+
+class Migration(migrations.Migration):
+    dependencies = [
+        ("zerver", "0617_remove_prefix_from_archived_streams"),
+    ]
+
+    operations = [
+        migrations.AddField(
+            model_name="realm",
+            name="can_move_messages_between_topics_group",
+            field=models.ForeignKey(
+                null=True,
+                on_delete=django.db.models.deletion.RESTRICT,
+                related_name="+",
+                to="zerver.usergroup",
+            ),
+        ),
+    ]
diff --git a/zerver/migrations/0619_set_default_value_for_can_move_messages_between_topics_group.py b/zerver/migrations/0619_set_default_value_for_can_move_messages_between_topics_group.py
new file mode 100644
index 0000000000..f0c5ca9993
--- /dev/null
+++ b/zerver/migrations/0619_set_default_value_for_can_move_messages_between_topics_group.py
@@ -0,0 +1,47 @@
+# Generated by Django 4.2.1 on 2023-06-12 10:47
+
+from django.db import migrations
+from django.db.backends.base.schema import BaseDatabaseSchemaEditor
+from django.db.migrations.state import StateApps
+from django.db.models import OuterRef
+
+
+def set_default_value_for_can_move_messages_between_topics_group(
+    apps: StateApps, schema_editor: BaseDatabaseSchemaEditor
+) -> None:
+    Realm = apps.get_model("zerver", "Realm")
+    NamedUserGroup = apps.get_model("zerver", "NamedUserGroup")
+
+    edit_topic_policy_to_group_name = {
+        1: "role:members",
+        2: "role:administrators",
+        3: "role:fullmembers",
+        4: "role:moderators",
+        5: "role:everyone",
+        6: "role:nobody",
+    }
+
+    for id, group_name in edit_topic_policy_to_group_name.items():
+        Realm.objects.filter(
+            can_move_messages_between_topics_group=None, edit_topic_policy=id
+        ).update(
+            can_move_messages_between_topics_group=NamedUserGroup.objects.filter(
+                name=group_name, realm=OuterRef("id"), is_system_group=True
+            ).values("pk")
+        )
+
+
+class Migration(migrations.Migration):
+    atomic = False
+
+    dependencies = [
+        ("zerver", "0618_realm_can_move_messages_between_topics_group"),
+    ]
+
+    operations = [
+        migrations.RunPython(
+            set_default_value_for_can_move_messages_between_topics_group,
+            elidable=True,
+            reverse_code=migrations.RunPython.noop,
+        )
+    ]
diff --git a/zerver/migrations/0620_alter_realm_can_move_messages_between_topics_group.py b/zerver/migrations/0620_alter_realm_can_move_messages_between_topics_group.py
new file mode 100644
index 0000000000..1870e8d00e
--- /dev/null
+++ b/zerver/migrations/0620_alter_realm_can_move_messages_between_topics_group.py
@@ -0,0 +1,22 @@
+# Generated by Django 5.0.9 on 2024-10-25 14:25
+
+import django.db.models.deletion
+from django.db import migrations, models
+
+
+class Migration(migrations.Migration):
+    dependencies = [
+        ("zerver", "0619_set_default_value_for_can_move_messages_between_topics_group"),
+    ]
+
+    operations = [
+        migrations.AlterField(
+            model_name="realm",
+            name="can_move_messages_between_topics_group",
+            field=models.ForeignKey(
+                on_delete=django.db.models.deletion.RESTRICT,
+                related_name="+",
+                to="zerver.usergroup",
+            ),
+        ),
+    ]
diff --git a/zerver/models/realms.py b/zerver/models/realms.py
index 7c0e2d87b1..4d36a452fa 100644
--- a/zerver/models/realms.py
+++ b/zerver/models/realms.py
@@ -306,6 +306,11 @@ class Realm(models.Model):  # type: ignore[django-manager-missing] # django-stub
         "UserGroup", on_delete=models.RESTRICT, related_name="+"
     )
 
+    # UserGroup which is allowed to move messages between topics.
+    can_move_messages_between_topics_group = models.ForeignKey(
+        "UserGroup", on_delete=models.RESTRICT, related_name="+"
+    )
+
     # Who in the organization is allowed to edit topics of any message.
     edit_topic_policy = models.PositiveSmallIntegerField(default=EditTopicPolicyEnum.EVERYONE)
 
@@ -787,6 +792,15 @@ class Realm(models.Model):  # type: ignore[django-manager-missing] # django-stub
             default_group_name=SystemGroups.MEMBERS,
             id_field_name="can_move_messages_between_channels_group_id",
         ),
+        can_move_messages_between_topics_group=GroupPermissionSetting(
+            require_system_group=not settings.ALLOW_GROUP_VALUED_SETTINGS,
+            allow_internet_group=False,
+            allow_owners_group=False,
+            allow_nobody_group=True,
+            allow_everyone_group=True,
+            default_group_name=SystemGroups.EVERYONE,
+            id_field_name="can_move_messages_between_topics_group_id",
+        ),
         direct_message_initiator_group=GroupPermissionSetting(
             require_system_group=not settings.ALLOW_GROUP_VALUED_SETTINGS,
             allow_internet_group=False,
@@ -1203,6 +1217,8 @@ def get_realm_with_settings(realm_id: int) -> Realm:
         "can_manage_all_groups__named_user_group",
         "can_move_messages_between_channels_group",
         "can_move_messages_between_channels_group__named_user_group",
+        "can_move_messages_between_topics_group",
+        "can_move_messages_between_topics_group__named_user_group",
         "direct_message_initiator_group",
         "direct_message_initiator_group__named_user_group",
         "direct_message_permission_group",
diff --git a/zerver/models/users.py b/zerver/models/users.py
index 406271b38f..a6806dee56 100644
--- a/zerver/models/users.py
+++ b/zerver/models/users.py
@@ -897,7 +897,7 @@ class UserProfile(AbstractBaseUser, PermissionsMixin, UserBaseSettings):
         return self.has_permission("can_manage_all_groups")
 
     def can_move_messages_to_another_topic(self) -> bool:
-        return self.has_permission("edit_topic_policy")
+        return self.has_permission("can_move_messages_between_topics_group")
 
     def can_add_custom_emoji(self) -> bool:
         return self.has_permission("can_add_custom_emoji_group")
diff --git a/zerver/openapi/zulip.yaml b/zerver/openapi/zulip.yaml
index 0f543903e8..db526a7692 100644
--- a/zerver/openapi/zulip.yaml
+++ b/zerver/openapi/zulip.yaml
@@ -4515,6 +4515,20 @@ paths:
                                             In Zulip 7.0 (feature level 159), `Nobody` was added as an option to
                                             `move_messages_between_streams_policy` enum.
                                         - $ref: "#/components/schemas/GroupSettingValue"
+                                    can_move_messages_between_topics_group:
+                                      allOf:
+                                        - description: |
+                                            A [group-setting value](/api/group-setting-values) defining the set of
+                                            users who have permission to move messages from one topic to another
+                                            within a channel in the organization.
+
+                                            **Changes**: New in Zulip 10.0 (feature level 316). Previously, this
+                                            permission was controlled by the enum `edit_topic_policy`. Values were
+                                            1=Members, 2=Admins, 3=Full members, 4=Moderators, 5=Everyone, 6=Nobody.
+
+                                            In Zulip 7.0 (feature level 159), `Nobody` was added as an option to
+                                            `edit_topic_policy` enum.
+                                        - $ref: "#/components/schemas/GroupSettingValue"
                                     can_manage_all_groups:
                                       allOf:
                                         - $ref: "#/components/schemas/GroupSettingValue"
@@ -8303,7 +8317,7 @@ paths:
 
         - `allow_message_editing`
         - `can_move_messages_between_channels_group`
-        - `edit_topic_policy`
+        - `can_move_messages_between_topics_group`
         - `message_content_edit_limit_seconds`
         - `move_messages_within_stream_limit_seconds`
         - `move_messages_between_streams_limit_seconds`
@@ -8313,6 +8327,10 @@ paths:
         of the [`realm op: update_dict`](/api/get-events#realm-update_dict)
         event in [`GET /events`](/api/get-events).
 
+        **Changes**: In Zulip 10.0 (feature level 316), `edit_topic_policy`
+        was removed and replaced by `can_move_messages_between_topics_group`
+        realm setting.
+
         **Changes**: In Zulip 10.0 (feature level 310), `move_messages_between_streams_policy`
         was removed and replaced by `can_move_messages_between_channels_group`
         realm setting.
@@ -16351,6 +16369,22 @@ paths:
                               In Zulip 7.0 (feature level 159), `Nobody` was added as an option to
                               `move_messages_between_streams_policy` enum.
                           - $ref: "#/components/schemas/GroupSettingValue"
+                      realm_can_move_messages_between_topics_group:
+                        allOf:
+                          - description: |
+                              Present if `realm` is present in `fetch_event_types`.
+
+                              A [group-setting value](/api/group-setting-values) defining the set of
+                              users who have permission to move messages from one topic to another
+                              within a channel in the organization.
+
+                              **Changes**: New in Zulip 10.0 (feature level 316). Previously, this
+                              permission was controlled by the enum `edit_topic_policy`. Values were
+                              1=Members, 2=Admins, 3=Full members, 4=Moderators, 5=Everyone, 6=Nobody.
+
+                              In Zulip 7.0 (feature level 159), `Nobody` was added as an option to
+                              `edit_topic_policy` enum.
+                          - $ref: "#/components/schemas/GroupSettingValue"
                       realm_bot_creation_policy:
                         type: integer
                         description: |
diff --git a/zerver/tests/test_audit_log.py b/zerver/tests/test_audit_log.py
index 9b2e1c40c8..ab846e52eb 100644
--- a/zerver/tests/test_audit_log.py
+++ b/zerver/tests/test_audit_log.py
@@ -31,6 +31,7 @@ from zerver.actions.realm_linkifiers import (
 )
 from zerver.actions.realm_playgrounds import check_add_realm_playground, do_remove_realm_playground
 from zerver.actions.realm_settings import (
+    do_change_realm_permission_group_setting,
     do_deactivate_realm,
     do_reactivate_realm,
     do_set_realm_authentication_methods,
@@ -89,7 +90,7 @@ from zerver.models.linkifiers import linkifiers_for_realm
 from zerver.models.realm_audit_logs import AuditLogEventType
 from zerver.models.realm_emoji import EmojiInfo, get_all_custom_emoji_for_realm
 from zerver.models.realm_playgrounds import get_realm_playgrounds
-from zerver.models.realms import EditTopicPolicyEnum, RealmDomainDict, get_realm, get_realm_domains
+from zerver.models.realms import RealmDomainDict, get_realm, get_realm_domains
 from zerver.models.streams import get_stream
 
 
@@ -546,14 +547,24 @@ class TestRealmAuditLog(ZulipTestCase):
             1,
         )
 
+        administrators_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.ADMINISTRATORS, realm=realm, is_system_group=True
+        )
+        everyone_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.EVERYONE, realm=realm, is_system_group=True
+        )
+
         value_expected = {
-            RealmAuditLog.OLD_VALUE: EditTopicPolicyEnum.EVERYONE,
-            RealmAuditLog.NEW_VALUE: EditTopicPolicyEnum.ADMINS_ONLY,
-            "property": "edit_topic_policy",
+            RealmAuditLog.OLD_VALUE: everyone_system_group.id,
+            RealmAuditLog.NEW_VALUE: administrators_system_group.id,
+            "property": "can_move_messages_between_topics_group",
         }
 
-        do_set_realm_property(
-            realm, "edit_topic_policy", EditTopicPolicyEnum.ADMINS_ONLY, acting_user=user
+        do_change_realm_permission_group_setting(
+            realm,
+            "can_move_messages_between_topics_group",
+            administrators_system_group,
+            acting_user=user,
         )
         self.assertEqual(
             RealmAuditLog.objects.filter(
diff --git a/zerver/tests/test_home.py b/zerver/tests/test_home.py
index 031a9b872b..15e91e134f 100644
--- a/zerver/tests/test_home.py
+++ b/zerver/tests/test_home.py
@@ -138,6 +138,7 @@ class HomeTest(ZulipTestCase):
         "realm_can_delete_own_message_group",
         "realm_can_manage_all_groups",
         "realm_can_move_messages_between_channels_group",
+        "realm_can_move_messages_between_topics_group",
         "realm_create_multiuse_invite_group",
         "realm_create_private_stream_policy",
         "realm_create_public_stream_policy",
diff --git a/zerver/tests/test_message_edit.py b/zerver/tests/test_message_edit.py
index 54ae8639a0..5a74bce349 100644
--- a/zerver/tests/test_message_edit.py
+++ b/zerver/tests/test_message_edit.py
@@ -6,7 +6,11 @@ import orjson
 from django.utils.timezone import now as timezone_now
 
 from zerver.actions.message_edit import get_mentions_for_message_updates
-from zerver.actions.realm_settings import do_change_realm_plan_type, do_set_realm_property
+from zerver.actions.realm_settings import (
+    do_change_realm_permission_group_setting,
+    do_change_realm_plan_type,
+    do_set_realm_property,
+)
 from zerver.actions.streams import do_deactivate_stream
 from zerver.actions.user_groups import add_subgroups_to_user_group, check_add_user_group
 from zerver.actions.user_topics import do_set_user_topic_visibility_policy
@@ -18,7 +22,7 @@ from zerver.lib.topic import TOPIC_NAME
 from zerver.lib.utils import assert_is_not_none
 from zerver.models import Attachment, Message, NamedUserGroup, Realm, UserProfile, UserTopic
 from zerver.models.groups import SystemGroups
-from zerver.models.realms import EditTopicPolicyEnum, WildcardMentionPolicyEnum, get_realm
+from zerver.models.realms import WildcardMentionPolicyEnum, get_realm
 from zerver.models.streams import get_stream
 
 
@@ -892,7 +896,7 @@ class EditMessageTest(ZulipTestCase):
         def set_message_editing_params(
             allow_message_editing: bool,
             message_content_edit_limit_seconds: int | str,
-            edit_topic_policy: int,
+            can_move_messages_between_topics_group: NamedUserGroup,
         ) -> None:
             result = self.client_patch(
                 "/json/realm",
@@ -901,7 +905,11 @@ class EditMessageTest(ZulipTestCase):
                     "message_content_edit_limit_seconds": orjson.dumps(
                         message_content_edit_limit_seconds
                     ).decode(),
-                    "edit_topic_policy": orjson.dumps(edit_topic_policy).decode(),
+                    "can_move_messages_between_topics_group": orjson.dumps(
+                        {
+                            "new": can_move_messages_between_topics_group.id,
+                        }
+                    ).decode(),
                 },
             )
             self.assert_json_success(result)
@@ -949,31 +957,35 @@ class EditMessageTest(ZulipTestCase):
         message.date_sent -= timedelta(seconds=180)
         message.save()
 
+        administrators_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.ADMINISTRATORS, realm=get_realm("zulip"), is_system_group=True
+        )
+
         # test the various possible message editing settings
         # high enough time limit, all edits allowed
-        set_message_editing_params(True, 240, EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(True, 240, administrators_system_group)
         do_edit_message_assert_success(id_, "A")
 
         # out of time, only topic editing allowed
-        set_message_editing_params(True, 120, EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(True, 120, administrators_system_group)
         do_edit_message_assert_success(id_, "B", True)
         do_edit_message_assert_error(id_, "C", "The time limit for editing this message has passed")
 
         # infinite time, all edits allowed
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(True, "unlimited", administrators_system_group)
         do_edit_message_assert_success(id_, "D")
 
         # without allow_message_editing, editing content is not allowed but
         # editing topic is allowed if topic-edit time limit has not passed
         # irrespective of content-edit time limit.
-        set_message_editing_params(False, 240, EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(False, 240, administrators_system_group)
         do_edit_message_assert_success(id_, "B", True)
 
-        set_message_editing_params(False, 240, EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(False, 240, administrators_system_group)
         do_edit_message_assert_success(id_, "E", True)
-        set_message_editing_params(False, 120, EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(False, 120, administrators_system_group)
         do_edit_message_assert_success(id_, "F", True)
-        set_message_editing_params(False, "unlimited", EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(False, "unlimited", administrators_system_group)
         do_edit_message_assert_success(id_, "G", True)
 
     def test_edit_message_in_archived_stream(self) -> None:
@@ -1003,11 +1015,11 @@ class EditMessageTest(ZulipTestCase):
         )
         self.assert_json_error(result, "Invalid message(s)")
 
-    def test_edit_topic_policy(self) -> None:
+    def test_can_move_messages_between_topics_group(self) -> None:
         def set_message_editing_params(
             allow_message_editing: bool,
             message_content_edit_limit_seconds: int | str,
-            edit_topic_policy: int,
+            can_move_messages_between_topics_group: NamedUserGroup,
         ) -> None:
             self.login("iago")
             result = self.client_patch(
@@ -1017,7 +1029,11 @@ class EditMessageTest(ZulipTestCase):
                     "message_content_edit_limit_seconds": orjson.dumps(
                         message_content_edit_limit_seconds
                     ).decode(),
-                    "edit_topic_policy": orjson.dumps(edit_topic_policy).decode(),
+                    "can_move_messages_between_topics_group": orjson.dumps(
+                        {
+                            "new": can_move_messages_between_topics_group.id,
+                        }
+                    ).decode(),
                 },
             )
             self.assert_json_success(result)
@@ -1056,30 +1072,51 @@ class EditMessageTest(ZulipTestCase):
 
         # Guest user must be subscribed to the stream to access the message.
         polonius = self.example_user("polonius")
+        realm = polonius.realm
         self.subscribe(polonius, "Denmark")
 
+        administrators_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.ADMINISTRATORS, realm=realm, is_system_group=True
+        )
+        full_members_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.FULL_MEMBERS, realm=realm, is_system_group=True
+        )
+        members_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.MEMBERS, realm=realm, is_system_group=True
+        )
+        moderators_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.MODERATORS, realm=realm, is_system_group=True
+        )
+        everyone_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.EVERYONE, realm=realm, is_system_group=True
+        )
+        nobody_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.NOBODY, realm=realm, is_system_group=True
+        )
+
         # any user can edit the topic of a message
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.EVERYONE)
+        set_message_editing_params(True, "unlimited", everyone_system_group)
         do_edit_message_assert_success(id_, "A", "polonius")
 
         # only members can edit topic of a message
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.MEMBERS_ONLY)
+        set_message_editing_params(True, "unlimited", members_system_group)
         do_edit_message_assert_error(
             id_, "B", "You don't have permission to edit this message", "polonius"
         )
         do_edit_message_assert_success(id_, "B", "cordelia")
 
         # only full members can edit topic of a message
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.FULL_MEMBERS_ONLY)
+        set_message_editing_params(True, "unlimited", full_members_system_group)
 
         cordelia = self.example_user("cordelia")
         hamlet = self.example_user("hamlet")
-        do_set_realm_property(cordelia.realm, "waiting_period_threshold", 10, acting_user=None)
 
         cordelia.date_joined = timezone_now() - timedelta(days=9)
         cordelia.save()
         hamlet.date_joined = timezone_now() - timedelta(days=9)
         hamlet.save()
+
+        do_set_realm_property(cordelia.realm, "waiting_period_threshold", 10, acting_user=None)
         do_edit_message_assert_error(
             id_, "C", "You don't have permission to edit this message", "cordelia"
         )
@@ -1089,15 +1126,12 @@ class EditMessageTest(ZulipTestCase):
             id_, "C", "You don't have permission to edit this message", "hamlet"
         )
 
-        cordelia.date_joined = timezone_now() - timedelta(days=11)
-        cordelia.save()
-        hamlet.date_joined = timezone_now() - timedelta(days=11)
-        hamlet.save()
+        do_set_realm_property(cordelia.realm, "waiting_period_threshold", 8, acting_user=None)
         do_edit_message_assert_success(id_, "C", "cordelia")
         do_edit_message_assert_success(id_, "CD", "hamlet")
 
         # only moderators can edit topic of a message
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.MODERATORS_ONLY)
+        set_message_editing_params(True, "unlimited", moderators_system_group)
         do_edit_message_assert_error(
             id_, "D", "You don't have permission to edit this message", "cordelia"
         )
@@ -1108,14 +1142,14 @@ class EditMessageTest(ZulipTestCase):
         do_edit_message_assert_success(id_, "D", "shiva")
 
         # only admins can edit the topics of messages
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.ADMINS_ONLY)
+        set_message_editing_params(True, "unlimited", administrators_system_group)
         do_edit_message_assert_error(
             id_, "E", "You don't have permission to edit this message", "shiva"
         )
         do_edit_message_assert_success(id_, "E", "iago")
 
         # even owners and admins cannot edit the topics of messages
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.NOBODY)
+        set_message_editing_params(True, "unlimited", nobody_system_group)
         do_edit_message_assert_error(
             id_, "H", "You don't have permission to edit this message", "desdemona"
         )
@@ -1124,14 +1158,14 @@ class EditMessageTest(ZulipTestCase):
         )
 
         # users can edit topics even if allow_message_editing is False
-        set_message_editing_params(False, "unlimited", EditTopicPolicyEnum.EVERYONE)
+        set_message_editing_params(False, "unlimited", everyone_system_group)
         do_edit_message_assert_success(id_, "D", "cordelia")
 
         # non-admin users cannot edit topics sent > 1 week ago including
         # sender of the message.
         message.date_sent -= timedelta(seconds=604900)
         message.save()
-        set_message_editing_params(True, "unlimited", EditTopicPolicyEnum.EVERYONE)
+        set_message_editing_params(True, "unlimited", everyone_system_group)
         do_edit_message_assert_success(id_, "E", "iago")
         do_edit_message_assert_success(id_, "F", "shiva")
         do_edit_message_assert_error(
@@ -1158,6 +1192,39 @@ class EditMessageTest(ZulipTestCase):
         do_edit_message_assert_success(id_, "G", "cordelia")
         do_edit_message_assert_success(id_, "H", "hamlet")
 
+        # Test for checking setting for non-system user group.
+        user_group = check_add_user_group(
+            realm, "new_group", [polonius, cordelia], acting_user=cordelia
+        )
+        set_message_editing_params(True, "unlimited", user_group)
+        # Polonius and Cordelia are in the allowed user group, so can move messages.
+        do_edit_message_assert_success(id_, "I", "polonius")
+        do_edit_message_assert_success(id_, "J", "cordelia")
+        # Iago is not in the allowed user group, so cannot move messages.
+        do_edit_message_assert_error(
+            id_, "K", "You don't have permission to edit this message", "iago"
+        )
+
+        # Test for checking the setting for anonymous user group.
+        anonymous_user_group = self.create_or_update_anonymous_group_for_setting(
+            [cordelia],
+            [administrators_system_group],
+        )
+        do_change_realm_permission_group_setting(
+            realm,
+            "can_move_messages_between_topics_group",
+            anonymous_user_group,
+            acting_user=None,
+        )
+        # Cordelia is the direct member of the anonymous user group, so can move messages.
+        do_edit_message_assert_success(id_, "K", "cordelia")
+        # Iago is in the `administrators_system_group` subgroup, so can move messages.
+        do_edit_message_assert_success(id_, "L", "iago")
+        # Shiva is not in the anonymous user group, so cannot move messages.
+        do_edit_message_assert_error(
+            id_, "M", "You don't have permission to edit this message", "shiva"
+        )
+
     @mock.patch("zerver.actions.message_edit.send_event_on_commit")
     def test_topic_wildcard_mention_in_followed_topic(
         self, mock_send_event: mock.MagicMock
diff --git a/zerver/tests/test_message_move_stream.py b/zerver/tests/test_message_move_stream.py
index 3a2fcc425d..6b4fd86797 100644
--- a/zerver/tests/test_message_move_stream.py
+++ b/zerver/tests/test_message_move_stream.py
@@ -16,7 +16,7 @@ from zerver.lib.test_helpers import queries_captured
 from zerver.lib.url_encoding import near_stream_message_url
 from zerver.models import Message, NamedUserGroup, Stream, UserMessage, UserProfile
 from zerver.models.groups import SystemGroups
-from zerver.models.realms import EditTopicPolicyEnum, get_realm
+from zerver.models.realms import get_realm
 from zerver.models.streams import get_stream
 
 
@@ -1130,10 +1130,19 @@ class MessageMoveStreamTest(ZulipTestCase):
         (user_profile, old_stream, new_stream, msg_id, msg_id_later) = self.prepare_move_topics(
             "othello", "old_stream_1", "new_stream_1", "test"
         )
-
         realm = user_profile.realm
-        realm.edit_topic_policy = EditTopicPolicyEnum.ADMINS_ONLY
-        realm.save()
+
+        administrators_system_group = NamedUserGroup.objects.get(
+            name=SystemGroups.ADMINISTRATORS, realm=realm, is_system_group=True
+        )
+
+        do_change_realm_permission_group_setting(
+            realm,
+            "can_move_messages_between_topics_group",
+            administrators_system_group,
+            acting_user=None,
+        )
+
         self.login("cordelia")
 
         members_system_group = NamedUserGroup.objects.get(
@@ -1175,7 +1184,7 @@ class MessageMoveStreamTest(ZulipTestCase):
             "iago", "test move stream", "new stream", "test"
         )
 
-        with self.assert_database_query_count(53), self.assert_memcached_count(14):
+        with self.assert_database_query_count(55), self.assert_memcached_count(14):
             result = self.client_patch(
                 f"/json/messages/{msg_id}",
                 {
diff --git a/zerver/tests/test_message_move_topic.py b/zerver/tests/test_message_move_topic.py
index 2e1d31e060..8a9f745a19 100644
--- a/zerver/tests/test_message_move_topic.py
+++ b/zerver/tests/test_message_move_topic.py
@@ -266,7 +266,7 @@ class MessageMoveTopicTest(ZulipTestCase):
         # state + 1/user with a UserTopic row for the events data)
         # beyond what is typical were there not UserTopic records to
         # update. Ideally, we'd eliminate the per-user component.
-        with self.assert_database_query_count(25):
+        with self.assert_database_query_count(27):
             check_update_message(
                 user_profile=hamlet,
                 message_id=message_id,
@@ -426,7 +426,7 @@ class MessageMoveTopicTest(ZulipTestCase):
         set_topic_visibility_policy(desdemona, muted_topics, UserTopic.VisibilityPolicy.MUTED)
         set_topic_visibility_policy(cordelia, muted_topics, UserTopic.VisibilityPolicy.MUTED)
 
-        with self.assert_database_query_count(29):
+        with self.assert_database_query_count(31):
             check_update_message(
                 user_profile=desdemona,
                 message_id=message_id,
@@ -449,7 +449,7 @@ class MessageMoveTopicTest(ZulipTestCase):
         second_message_id = self.send_stream_message(
             hamlet, stream_name, topic_name="changed topic name", content="Second message"
         )
-        with self.assert_database_query_count(23):
+        with self.assert_database_query_count(24):
             check_update_message(
                 user_profile=desdemona,
                 message_id=second_message_id,
@@ -528,7 +528,7 @@ class MessageMoveTopicTest(ZulipTestCase):
             users_to_be_notified_via_muted_topics_event.append(user_topic.user_profile_id)
 
         change_all_topic_name = "Topic 1 edited"
-        with self.assert_database_query_count(30):
+        with self.assert_database_query_count(32):
             check_update_message(
                 user_profile=hamlet,
                 message_id=message_id,
diff --git a/zerver/views/realm.py b/zerver/views/realm.py
index fc7597975b..397afde2ad 100644
--- a/zerver/views/realm.py
+++ b/zerver/views/realm.py
@@ -143,6 +143,7 @@ def update_realm(
     can_create_web_public_channel_group: Json[GroupSettingChangeRequest] | None = None,
     can_manage_all_groups: Json[GroupSettingChangeRequest] | None = None,
     can_move_messages_between_channels_group: Json[GroupSettingChangeRequest] | None = None,
+    can_move_messages_between_topics_group: Json[GroupSettingChangeRequest] | None = None,
     direct_message_initiator_group: Json[GroupSettingChangeRequest] | None = None,
     direct_message_permission_group: Json[GroupSettingChangeRequest] | None = None,
     invite_to_stream_policy: Json[CommonPolicyEnum] | None = None,