diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 7442233a..4737659b 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -6,7 +6,7 @@ jobs:
   test:
     strategy:
       matrix:
-        python: [2.7, 3.5, 3.6, 3.7, 3.8, 3.9]
+        python: [2.7, 3.6, 3.7, 3.8, 3.9]
         platform: [ubuntu-latest, macos-latest, windows-latest]
     runs-on: ${{ matrix.platform }}
     steps:
diff --git a/docs/changelog.rst b/docs/changelog.rst
index d8f324ef..1efa4569 100644
--- a/docs/changelog.rst
+++ b/docs/changelog.rst
@@ -2,6 +2,11 @@
  importlib_resources NEWS
 ==========================
 
+v3.3.0
+======
+
+* #107: Drop support for Python 3.5. Now requires Python 2.7 or 3.6+.
+
 v3.2.0
 ======
 
diff --git a/importlib_resources/_py3.py b/importlib_resources/_py3.py
index 7aa2773f..ffeb616d 100644
--- a/importlib_resources/_py3.py
+++ b/importlib_resources/_py3.py
@@ -1,5 +1,4 @@
 import os
-import sys
 import io
 
 from . import _common
@@ -12,16 +11,13 @@
 from typing import cast
 from typing.io import BinaryIO, TextIO
 from collections.abc import Sequence
-from ._compat import singledispatch
+from functools import singledispatch
 
 if False:  # TYPE_CHECKING
     from typing import ContextManager
 
 Package = Union[ModuleType, str]
-if sys.version_info >= (3, 6):
-    Resource = Union[str, os.PathLike]              # pragma: <=35
-else:
-    Resource = str                                  # pragma: >=36
+Resource = Union[str, os.PathLike]
 
 
 def open_binary(package: Package, resource: Resource) -> BinaryIO:
diff --git a/setup.cfg b/setup.cfg
index 9eddc83e..916040f9 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -19,7 +19,7 @@ project_urls =
 [options]
 packages = find:
 include_package_data = true
-python_requires = >=2.7,!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*
+python_requires = >=2.7,!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*
 install_requires =
     pathlib2; python_version < '3'
     typing; python_version < '3.5'