diff --git a/Lib/test/test_genericalias.py b/Lib/test/test_genericalias.py
index 04cb810d9babbf..04122fbdd0ae80 100644
--- a/Lib/test/test_genericalias.py
+++ b/Lib/test/test_genericalias.py
@@ -49,7 +49,7 @@
     ShareableList = None
 from os import DirEntry
 from re import Pattern, Match
-from types import GenericAlias, MappingProxyType, AsyncGeneratorType
+from types import GenericAlias, MappingProxyType, AsyncGeneratorType, CoroutineType, GeneratorType
 from tempfile import TemporaryDirectory, SpooledTemporaryFile
 from urllib.parse import SplitResult, ParseResult
 from unittest.case import _AssertRaisesContext
@@ -120,6 +120,7 @@ class BaseTest(unittest.TestCase):
                      KeysView, ItemsView, ValuesView,
                      Sequence, MutableSequence,
                      MappingProxyType, AsyncGeneratorType,
+                     GeneratorType, CoroutineType,
                      DirEntry,
                      chain,
                      LoggerAdapter, StreamHandler,
diff --git a/Misc/NEWS.d/next/Library/2023-10-02-10-35-58.gh-issue-110209.b5zfIz.rst b/Misc/NEWS.d/next/Library/2023-10-02-10-35-58.gh-issue-110209.b5zfIz.rst
new file mode 100644
index 00000000000000..b88e80d038d9b1
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2023-10-02-10-35-58.gh-issue-110209.b5zfIz.rst
@@ -0,0 +1 @@
+Add :meth:`~object.__class_getitem__` to :class:`types.GeneratorType` and :class:`types.CoroutineType` for type hinting purposes. Patch by James Hilton-Balfe.
diff --git a/Objects/genobject.c b/Objects/genobject.c
index 89bb21a8674b9f..a1f380735c51ee 100644
--- a/Objects/genobject.c
+++ b/Objects/genobject.c
@@ -799,6 +799,7 @@ static PyMethodDef gen_methods[] = {
     {"throw",_PyCFunction_CAST(gen_throw), METH_FASTCALL, throw_doc},
     {"close",(PyCFunction)gen_close, METH_NOARGS, close_doc},
     {"__sizeof__", (PyCFunction)gen_sizeof, METH_NOARGS, sizeof__doc__},
+    {"__class_getitem__", Py_GenericAlias, METH_O|METH_CLASS, PyDoc_STR("See PEP 585")},
     {NULL, NULL}        /* Sentinel */
 };
 
@@ -1151,6 +1152,7 @@ static PyMethodDef coro_methods[] = {
     {"throw",_PyCFunction_CAST(gen_throw), METH_FASTCALL, coro_throw_doc},
     {"close",(PyCFunction)gen_close, METH_NOARGS, coro_close_doc},
     {"__sizeof__", (PyCFunction)gen_sizeof, METH_NOARGS, sizeof__doc__},
+    {"__class_getitem__", Py_GenericAlias, METH_O|METH_CLASS, PyDoc_STR("See PEP 585")},
     {NULL, NULL}        /* Sentinel */
 };