diff --git a/python/CHANGELOG.rst b/python/CHANGELOG.rst
index 1b463d4f6f..e7a8392648 100644
--- a/python/CHANGELOG.rst
+++ b/python/CHANGELOG.rst
@@ -1,5 +1,5 @@
 ----------------------
-[0.4.0b1] - 2021-12-07
+[0.4.0] - 2021-12-10
 ----------------------
 
 **Breaking changes**
diff --git a/python/tskit/_version.py b/python/tskit/_version.py
index 2af536acdd..12d661b241 100644
--- a/python/tskit/_version.py
+++ b/python/tskit/_version.py
@@ -1,4 +1,4 @@
 # Definitive location for the version number.
 # During development, should be x.y.z.devN
 # For beta should be x.y.zbN
-tskit_version = "0.4.0b1"
+tskit_version = "0.4.0"