Release api-core 1.4.0 (#5922)
diff --git a/CHANGELOG.md b/CHANGELOG.md
index b620616..1628644 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,6 +4,13 @@
[1]: https://pypi.org/project/google-api-core/#history
+## 1.4.0
+
+### Dependencies
+
+- Add support for gRPC connection management (available when using optional grpc_gcp dependency) ([#5553](https://github.com/GoogleCloudPlatform/google-cloud-python/pull/5553)) ([#5904](https://github.com/GoogleCloudPlatform/google-cloud-python/pull/5904))
+- Update classifiers to drop Python 3.4 and add Python 3.7 ([#5702](https://github.com/GoogleCloudPlatform/google-cloud-python/pull/5702))
+
## 1.3.0
### New Features