diff --git a/Lib/test/test_typing.py b/Lib/test/test_typing.py
index 5777656552d797..13efb549d89d80 100644
--- a/Lib/test/test_typing.py
+++ b/Lib/test/test_typing.py
@@ -30,6 +30,7 @@
 from typing import ParamSpec, Concatenate, ParamSpecArgs, ParamSpecKwargs
 from typing import TypeGuard
 import abc
+import textwrap
 import typing
 import weakref
 import types
@@ -2006,6 +2007,45 @@ def barfoo(x: AT): ...
         def barfoo2(x: CT): ...
         self.assertIs(get_type_hints(barfoo2, globals(), locals())['x'], CT)
 
+    def test_generic_pep585_forward_ref(self):
+        # See https://bugs.python.org/issue41370
+
+        class C1:
+            a: list['C1']
+        self.assertEqual(
+            get_type_hints(C1, globals(), locals()),
+            {'a': list[C1]}
+        )
+
+        class C2:
+            a: dict['C1', list[List[list['C2']]]]
+        self.assertEqual(
+            get_type_hints(C2, globals(), locals()),
+            {'a': dict[C1, list[List[list[C2]]]]}
+        )
+
+        # Test stringified annotations
+        scope = {}
+        exec(textwrap.dedent('''
+        from __future__ import annotations
+        class C3:
+            a: List[list["C2"]]
+        '''), scope)
+        C3 = scope['C3']
+        self.assertEqual(C3.__annotations__['a'], "List[list['C2']]")
+        self.assertEqual(
+            get_type_hints(C3, globals(), locals()),
+            {'a': List[list[C2]]}
+        )
+
+        # Test recursive types
+        X = list["X"]
+        def f(x: X): ...
+        self.assertEqual(
+            get_type_hints(f, globals(), locals()),
+            {'x': list[list[ForwardRef('X')]]}
+        )
+
     def test_extended_generic_rules_subclassing(self):
         class T1(Tuple[T, KT]): ...
         class T2(Tuple[T, ...]): ...
@@ -3270,7 +3310,7 @@ def foobar(x: list[ForwardRef('X')]): ...
         BA = Tuple[Annotated[T, (1, 0)], ...]
         def barfoo(x: BA): ...
         self.assertEqual(get_type_hints(barfoo, globals(), locals())['x'], Tuple[T, ...])
-        self.assertIs(
+        self.assertEqual(
             get_type_hints(barfoo, globals(), locals(), include_extras=True)['x'],
             BA
         )
@@ -3278,7 +3318,7 @@ def barfoo(x: BA): ...
         BA = tuple[Annotated[T, (1, 0)], ...]
         def barfoo(x: BA): ...
         self.assertEqual(get_type_hints(barfoo, globals(), locals())['x'], tuple[T, ...])
-        self.assertIs(
+        self.assertEqual(
             get_type_hints(barfoo, globals(), locals(), include_extras=True)['x'],
             BA
         )
diff --git a/Lib/typing.py b/Lib/typing.py
index e3e098b1fcc8f3..373c5268fad8f5 100644
--- a/Lib/typing.py
+++ b/Lib/typing.py
@@ -331,6 +331,12 @@ def _eval_type(t, globalns, localns, recursive_guard=frozenset()):
     if isinstance(t, ForwardRef):
         return t._evaluate(globalns, localns, recursive_guard)
     if isinstance(t, (_GenericAlias, GenericAlias, types.UnionType)):
+        if isinstance(t, GenericAlias):
+            args = tuple(
+                ForwardRef(arg) if isinstance(arg, str) else arg
+                for arg in t.__args__
+            )
+            t = t.__origin__[args]
         ev_args = tuple(_eval_type(a, globalns, localns, recursive_guard) for a in t.__args__)
         if ev_args == t.__args__:
             return t
diff --git a/Misc/NEWS.d/next/Library/2022-01-27-11-54-16.bpo-41370.gYxCPE.rst b/Misc/NEWS.d/next/Library/2022-01-27-11-54-16.bpo-41370.gYxCPE.rst
new file mode 100644
index 00000000000000..d9ad2af156a4dd
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2022-01-27-11-54-16.bpo-41370.gYxCPE.rst
@@ -0,0 +1 @@
+:func:`typing.get_type_hints` now supports evaluating strings as forward references in :ref:`PEP 585 generic aliases <types-genericalias>`.