diff --git a/Lib/test/ann_module5.py b/Lib/test/ann_module5.py
@@ -0,0 +1,10 @@
+# Used by test_typing to verify that Final wrapped in ForwardRef works.
+
+from __future__ import annotations
+
+from typing import Final
+
+name: Final[str] = "final"
+
+class MyClass:
+    value: Final = 3000
diff --git a/Lib/test/ann_module6.py b/Lib/test/ann_module6.py
@@ -0,0 +1,7 @@
+# Tests that top-level ClassVar is not allowed
+
+from __future__ import annotations
+
+from typing import ClassVar
+
+wrong: ClassVar[int] = 1
@@ -2975,7 +2975,7 @@ async def __aexit__(self, etype, eval, tb):
 
 # Definitions needed for features introduced in Python 3.6
 
-from test import ann_module, ann_module2, ann_module3
+from test import ann_module, ann_module2, ann_module3, ann_module5, ann_module6
 from typing import AsyncContextManager
 
 class A:
@@ -3339,6 +3339,22 @@ class C(Generic[T]): pass
                          (Concatenate[int, P], int))
         self.assertEqual(get_args(list | str), (list, str))
 
+    def test_forward_ref_and_final(self):
+        # https://bugs.python.org/issue45166
+        hints = get_type_hints(ann_module5)
+        self.assertEqual(hints, {'name': Final[str]})
+
+        hints = get_type_hints(ann_module5.MyClass)
+        self.assertEqual(hints, {'value': Final})
+
+    def test_top_level_class_var(self):
+        # https://bugs.python.org/issue45166
+        with self.assertRaisesRegex(
+            TypeError,
+            r'typing.ClassVar\[int\] is not valid as type argument',
+        ):
+            get_type_hints(ann_module6)
+
 
 class CollectionsAbcTests(BaseTestCase):
 

@@ -151,7 +151,7 @@ def _type_convert(arg, module=None):
     return arg
 
 
-def _type_check(arg, msg, is_argument=True, module=None):
+def _type_check(arg, msg, is_argument=True, module=None, *, is_class=False):
     """Check that the argument is a type, and return it (internal helper).
 
     As a special case, accept None and return type(None) instead. Also wrap strings
@@ -164,14 +164,16 @@ def _type_check(arg, msg, is_argument=True, module=None):
     We append the repr() of the actual value (truncated to 100 chars).
     """
     invalid_generic_forms = (Generic, Protocol)
-    if is_argument:
-        invalid_generic_forms = invalid_generic_forms + (ClassVar, Final)
+    if not is_class:
+        invalid_generic_forms += (ClassVar,)
+        if is_argument:
+            invalid_generic_forms += (Final,)
 
     arg = _type_convert(arg, module=module)
     if (isinstance(arg, _GenericAlias) and
             arg.__origin__ in invalid_generic_forms):
         raise TypeError(f"{arg} is not valid as type argument")
-    if arg in (Any, NoReturn):
+    if arg in (Any, NoReturn, Final):
         return arg
     if isinstance(arg, _SpecialForm) or arg in (Generic, Protocol):
         raise TypeError(f"Plain {arg} is not valid as type argument")
@@ -662,9 +664,10 @@ class ForwardRef(_Final, _root=True):
 
     __slots__ = ('__forward_arg__', '__forward_code__',
                  '__forward_evaluated__', '__forward_value__',
-                 '__forward_is_argument__', '__forward_module__')
+                 '__forward_is_argument__', '__forward_is_class__',
+                 '__forward_module__')
 
-    def __init__(self, arg, is_argument=True, module=None):
+    def __init__(self, arg, is_argument=True, module=None, *, is_class=False):
         if not isinstance(arg, str):
             raise TypeError(f"Forward reference must be a string -- got {arg!r}")
         try:
@@ -676,6 +679,7 @@ def __init__(self, arg, is_argument=True, module=None):
         self.__forward_evaluated__ = False
         self.__forward_value__ = None
         self.__forward_is_argument__ = is_argument
+        self.__forward_is_class__ = is_class
         self.__forward_module__ = module
 
     def _evaluate(self, globalns, localns, recursive_guard):
@@ -692,10 +696,11 @@ def _evaluate(self, globalns, localns, recursive_guard):
                 globalns = getattr(
                     sys.modules.get(self.__forward_module__, None), '__dict__', globalns
                 )
-            type_ =_type_check(
+            type_ = _type_check(
                 eval(self.__forward_code__, globalns, localns),
                 "Forward references must evaluate to types.",
                 is_argument=self.__forward_is_argument__,
+                is_class=self.__forward_is_class__,
             )
             self.__forward_value__ = _eval_type(
                 type_, globalns, localns, recursive_guard | {self.__forward_arg__}
@@ -1799,7 +1804,7 @@ def get_type_hints(obj, globalns=None, localns=None, include_extras=False):
                 if value is None:
                     value = type(None)
                 if isinstance(value, str):
-                    value = ForwardRef(value, is_argument=False)
+                    value = ForwardRef(value, is_argument=False, is_class=True)
                 value = _eval_type(value, base_globals, base_locals)
                 hints[name] = value
         return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}
@@ -1831,7 +1836,13 @@ def get_type_hints(obj, globalns=None, localns=None, include_extras=False):
         if value is None:
             value = type(None)
         if isinstance(value, str):
-            value = ForwardRef(value)
+            # class-level forward refs were handled above, this must be either
+            # a module-level annotation or a function argument annotation
+            value = ForwardRef(
+                value,
+                is_argument=not isinstance(obj, types.ModuleType),
+                is_class=False,
+            )
         value = _eval_type(value, globalns, localns)
         if name in defaults and defaults[name] is None:
             value = Optional[value]

diff --git a/Misc/NEWS.d/next/Library/2021-09-10-21-35-53.bpo-45166.UHipXF.rst b/Misc/NEWS.d/next/Library/2021-09-10-21-35-53.bpo-45166.UHipXF.rst
@@ -0,0 +1,2 @@
+:func:`typing.get_type_hints` now works with :data:`~typing.Final` wrapped in
+:class:`~typing.ForwardRef`.
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,2 @@
		:func:`typing.get_type_hints` now works with :data:`~typing.Final` wrapped in
		:class:`~typing.ForwardRef`.