diff --git a/Lib/graphlib.py b/Lib/graphlib.py
index 1c5d9a413c9..636545648e1 100644
--- a/Lib/graphlib.py
+++ b/Lib/graphlib.py
@@ -1,3 +1,5 @@
+from types import GenericAlias
+
 __all__ = ["TopologicalSorter", "CycleError"]
 
 _NODE_OUT = -1
@@ -244,3 +246,5 @@ def static_order(self):
             node_group = self.get_ready()
             yield from node_group
             self.done(*node_group)
+
+    __class_getitem__ = classmethod(GenericAlias)
diff --git a/Lib/test/test_genericalias.py b/Lib/test/test_genericalias.py
index 0daaff099a8..706cc5ea1af 100644
--- a/Lib/test/test_genericalias.py
+++ b/Lib/test/test_genericalias.py
@@ -13,6 +13,7 @@
 from contextvars import ContextVar, Token
 from dataclasses import Field
 from functools import partial, partialmethod, cached_property
+from graphlib import TopologicalSorter
 from mailbox import Mailbox, _PartialFile
 try:
     import ctypes
@@ -56,6 +57,7 @@ class BaseTest(unittest.TestCase):
                      OrderedDict, Counter, UserDict, UserList,
                      Pattern, Match,
                      partial, partialmethod, cached_property,
+                     TopologicalSorter,
                      AbstractContextManager, AbstractAsyncContextManager,
                      Awaitable, Coroutine,
                      AsyncIterable, AsyncIterator,
diff --git a/Misc/NEWS.d/next/Library/2021-10-03-22-27-35.bpo-45359.LX_uxe.rst b/Misc/NEWS.d/next/Library/2021-10-03-22-27-35.bpo-45359.LX_uxe.rst
new file mode 100644
index 00000000000..6f5c97fde82
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2021-10-03-22-27-35.bpo-45359.LX_uxe.rst
@@ -0,0 +1 @@
+Implement :pep:`585` for :class:`graphlib.TopologicalSorter`.
\ No newline at end of file