diff --git a/Lib/test/test_ast.py b/Lib/test/test_ast.py
index 4883ed5f4db..03a877bcd1c 100644
--- a/Lib/test/test_ast.py
+++ b/Lib/test/test_ast.py
@@ -58,6 +58,9 @@ exec_tests = [
     "break",
     # Continue
     "continue",
+    # kw only funcs
+    "def f(*, kw=1): pass",
+    "def f(*, **kw): pass",
 ]
 
 # These are compiled through "single"
diff --git a/Lib/test/test_keywordonlyarg.py b/Lib/test/test_keywordonlyarg.py
index fc67c98316a..124257ecc73 100644
--- a/Lib/test/test_keywordonlyarg.py
+++ b/Lib/test/test_keywordonlyarg.py
@@ -144,6 +144,13 @@ class KeywordOnlyArgTestCase(unittest.TestCase):
         except TypeError:
             pass
 
+    def test_doublestar_only(self):
+        def f(*, **kw):
+            return kw
+
+        self.assertEqual(f(), {})
+        self.assertEqual(f(k1=1, k2=2), {'k1' : 1, 'k2' : 2})
+
 def test_main():
     run_unittest(KeywordOnlyArgTestCase)