Document Python 2 deprecation (#6910)


diff --git a/README.rst b/README.rst
index b475267..f0caaaf 100644
--- a/README.rst
+++ b/README.rst
@@ -12,3 +12,12 @@
 .. |versions| image:: https://img.shields.io/pypi/pyversions/google-api_core.svg
    :target: https://pypi.org/project/google-api_core/
 .. _documentation: https://googlecloudplatform.github.io/google-cloud-python/latest/core/
+
+
+Supported Python Versions
+-------------------------
+Python >= 3.4
+
+Deprecated Python Versions
+--------------------------
+Python == 2.7. Python 2.7 support will be removed on January 1, 2020.
\ No newline at end of file
diff --git a/setup.py b/setup.py
index 578e142..847d6ed 100644
--- a/setup.py
+++ b/setup.py
@@ -93,6 +93,7 @@
     namespace_packages=namespaces,
     install_requires=dependencies,
     extras_require=extras,
+    python_requires='>=2.7,!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*',
     include_package_data=True,
     zip_safe=False,
 )