diff --git a/Lib/functools.py b/Lib/functools.py
index 77ec852805c104..ab718d591a4e95 100644
--- a/Lib/functools.py
+++ b/Lib/functools.py
@@ -923,6 +923,8 @@ def _method(*args, **kwargs):
     def __isabstractmethod__(self):
         return getattr(self.func, '__isabstractmethod__', False)
 
+    __class_getitem__ = classmethod(GenericAlias)
+
 
 ################################################################################
 ### cached_property() - computed once per instance, cached as attribute
diff --git a/Lib/test/test_genericalias.py b/Lib/test/test_genericalias.py
index 0daaff099a868d..ccd41826debd5a 100644
--- a/Lib/test/test_genericalias.py
+++ b/Lib/test/test_genericalias.py
@@ -12,7 +12,9 @@
 from contextlib import AbstractContextManager, AbstractAsyncContextManager
 from contextvars import ContextVar, Token
 from dataclasses import Field
-from functools import partial, partialmethod, cached_property
+from functools import (
+    partial, partialmethod, cached_property, singledispatchmethod
+)
 from mailbox import Mailbox, _PartialFile
 try:
     import ctypes
@@ -55,7 +57,8 @@ class BaseTest(unittest.TestCase):
                      FileInput,
                      OrderedDict, Counter, UserDict, UserList,
                      Pattern, Match,
-                     partial, partialmethod, cached_property,
+                     partial, partialmethod,
+                     cached_property, singledispatchmethod,
                      AbstractContextManager, AbstractAsyncContextManager,
                      Awaitable, Coroutine,
                      AsyncIterable, AsyncIterator,
diff --git a/Misc/NEWS.d/next/Library/2021-11-01-22-40-18.bpo-45684.4mkten.rst b/Misc/NEWS.d/next/Library/2021-11-01-22-40-18.bpo-45684.4mkten.rst
new file mode 100644
index 00000000000000..89ee869db426eb
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2021-11-01-22-40-18.bpo-45684.4mkten.rst
@@ -0,0 +1 @@
+Add ``__class_getitem__`` method to ``functools.singledispatchmethod``.