diff --git a/CHANGELOG.md b/CHANGELOG.md
index 314f1289d..491baccaf 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,6 +4,13 @@
 
 [1]: https://pypi.org/project/google-cloud-storage/#history
 
+## [1.35.0](https://www.github.com/googleapis/python-storage/compare/v1.34.0...v1.35.0) (2020-12-14)
+
+
+### Features
+
+* support ConnectionError retries for media operations ([#342](https://www.github.com/googleapis/python-storage/issues/342)) ([e55b25b](https://www.github.com/googleapis/python-storage/commit/e55b25be1e32f17b17bffe1da99fca5062f180cb))
+
 ## [1.34.0](https://www.github.com/googleapis/python-storage/compare/v1.33.0...v1.34.0) (2020-12-11)
 
 
diff --git a/google/cloud/storage/version.py b/google/cloud/storage/version.py
index 660893f59..d9a170205 100644
--- a/google/cloud/storage/version.py
+++ b/google/cloud/storage/version.py
@@ -12,4 +12,4 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-__version__ = "1.34.0"
+__version__ = "1.35.0"
diff --git a/setup.py b/setup.py
index 9cd192dd5..e1974b607 100644
--- a/setup.py
+++ b/setup.py
@@ -30,7 +30,7 @@
 dependencies = [
     "google-auth >= 1.11.0, < 2.0dev",
     "google-cloud-core >= 1.4.1, < 2.0dev",
-    "google-resumable-media >= 1.0.0, < 2.0dev",
+    "google-resumable-media >= 1.2.0, < 2.0dev",
     "requests >= 2.18.0, < 3.0.0dev",
 ]
 extras = {}