diff --git a/Lib/inspect.py b/Lib/inspect.py
index 2374e59..531b891 100644
--- a/Lib/inspect.py
+++ b/Lib/inspect.py
@@ -1357,6 +1357,8 @@ def getargvalues(frame):
 def formatannotation(annotation, base_module=None):
     if getattr(annotation, '__module__', None) == 'typing':
         return repr(annotation).replace('typing.', '')
+    if isinstance(annotation, types.GenericAlias):
+        return str(annotation)
     if isinstance(annotation, type):
         if annotation.__module__ in ('builtins', base_module):
             return annotation.__qualname__
diff --git a/Lib/test/test_inspect.py b/Lib/test/test_inspect.py
index f0dc6bb..4164634 100644
--- a/Lib/test/test_inspect.py
+++ b/Lib/test/test_inspect.py
@@ -3316,6 +3316,17 @@ def foo():
             pass
         self.assertEqual(str(inspect.signature(foo)), '()')
 
+        def foo(a: list[str]) -> tuple[str, float]:
+            pass
+        self.assertEqual(str(inspect.signature(foo)),
+                         '(a: list[str]) -> tuple[str, float]')
+
+        from typing import Tuple
+        def foo(a: list[str]) -> Tuple[str, float]:
+            pass
+        self.assertEqual(str(inspect.signature(foo)),
+                         '(a: list[str]) -> Tuple[str, float]')
+
     def test_signature_str_positional_only(self):
         P = inspect.Parameter
         S = inspect.Signature
diff --git a/Misc/NEWS.d/next/Library/2021-10-27-10-05-39.bpo-45438.Xz5lGU.rst b/Misc/NEWS.d/next/Library/2021-10-27-10-05-39.bpo-45438.Xz5lGU.rst
new file mode 100644
index 0000000..cd6cfc1
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2021-10-27-10-05-39.bpo-45438.Xz5lGU.rst
@@ -0,0 +1 @@
+Fix typing.Signature string representation for generic builtin types.