diff --git a/requirements/common.in b/requirements/common.in
index c3866b1152..9af3a4b632 100644
--- a/requirements/common.in
+++ b/requirements/common.in
@@ -133,7 +133,7 @@ sourcemap==0.2.1
 tornado==4.5.2
 
 # Needed for Python static typing
-typing==3.6.2
+typing==3.6.4
 
 # Fast JSON parser
 -e git+https://github.com/zulip/ultrajson@70ac02bec#egg=ujson==1.35+git
diff --git a/requirements/dev.txt b/requirements/dev.txt
index 7fba2d9225..0b669ada79 100644
--- a/requirements/dev.txt
+++ b/requirements/dev.txt
@@ -165,7 +165,7 @@ transifex-client==0.12.4
 twilio==6.9.0
 twisted==17.9.0
 typed-ast==1.1.0          # via mypy
-typing==3.6.2
+typing==3.6.4
 uritemplate==3.0.0
 urllib3==1.22             # via requests, transifex-client
 w3lib==1.18.0             # via parsel, scrapy
diff --git a/requirements/docs.in b/requirements/docs.in
index a00849aa78..d8741843f8 100644
--- a/requirements/docs.in
+++ b/requirements/docs.in
@@ -26,4 +26,4 @@ imagesize==0.7.1
 snowballstemmer==1.2.1
 
 # Include typing explicitly, since it's needed on Python 3.4
-typing==3.6.2
+typing==3.6.4
diff --git a/requirements/docs.txt b/requirements/docs.txt
index f5f0d4dd6e..95f400bb2e 100644
--- a/requirements/docs.txt
+++ b/requirements/docs.txt
@@ -28,5 +28,5 @@ snowballstemmer==1.2.1
 sphinx-rtd-theme==0.2.4
 sphinx==1.7.0
 sphinxcontrib-websupport==1.0.1  # via sphinx
-typing==3.6.2
+typing==3.6.4
 urllib3==1.22             # via requests
diff --git a/requirements/mypy.in b/requirements/mypy.in
index 92e3d28f79..8ba1044286 100644
--- a/requirements/mypy.in
+++ b/requirements/mypy.in
@@ -5,4 +5,4 @@
 mypy==0.560
 
 # Include typing explicitly, since it's needed on Python 3.4
-typing==3.6.2
+typing==3.6.4
diff --git a/requirements/mypy.txt b/requirements/mypy.txt
index c09d286364..d0378d6fcd 100644
--- a/requirements/mypy.txt
+++ b/requirements/mypy.txt
@@ -10,4 +10,4 @@
 mypy==0.560
 psutil==5.4.1             # via mypy
 typed-ast==1.1.0          # via mypy
-typing==3.6.2
+typing==3.6.4
diff --git a/requirements/prod.txt b/requirements/prod.txt
index a1cb8d7d16..1a421f8011 100644
--- a/requirements/prod.txt
+++ b/requirements/prod.txt
@@ -111,7 +111,7 @@ stripe==1.77.2
 tornado==4.5.2
 traitlets==4.3.2          # via ipython
 twilio==6.9.0
-typing==3.6.2
+typing==3.6.4
 uritemplate==3.0.0
 urllib3==1.22             # via requests
 uwsgi==2.0.14
diff --git a/requirements/thumbor.in b/requirements/thumbor.in
index 2f2658dd05..dce13a2c26 100644
--- a/requirements/thumbor.in
+++ b/requirements/thumbor.in
@@ -1,6 +1,6 @@
 tc-aws==6.0.3
 thumbor==6.3.2
-typing==3.6.2
+typing==3.6.4
 
 # Below dependencies should ideally have been added to thumbor.txt by the
 # use of tools/update-locked-requirements but for some reason `pip-compile`
diff --git a/requirements/thumbor.txt b/requirements/thumbor.txt
index 99d951e8da..c80aca5439 100644
--- a/requirements/thumbor.txt
+++ b/requirements/thumbor.txt
@@ -30,4 +30,4 @@ tc-aws==6.0.3
 thumbor==6.3.2
 tornado-botocore==1.2.0   # via tc-aws
 tornado==4.5.2            # via thumbor, tornado-botocore
-typing==3.6.2
+typing==3.6.4