diff --git a/Lib/test/test_ast.py b/Lib/test/test_ast.py
index 3b9f10c..aa08166 100644
--- a/Lib/test/test_ast.py
+++ b/Lib/test/test_ast.py
@@ -1,8 +1,10 @@
 import os
 import sys
 import unittest
-from test import support
 import ast
+import weakref
+
+from test import support
 
 def to_tuple(t):
     if t is None or isinstance(t, (str, int, complex)):
@@ -207,6 +209,17 @@
             # "_ast.AST constructor takes 0 positional arguments"
             ast.AST(2)
 
+    def test_AST_garbage_collection(self):
+        class X:
+            pass
+        a = ast.AST()
+        a.x = X()
+        a.x.a = a
+        ref = weakref.ref(a.x)
+        del a
+        support.gc_collect()
+        self.assertIsNone(ref())
+
     def test_snippets(self):
         for input, output, kind in ((exec_tests, exec_results, "exec"),
                                     (single_tests, single_results, "single"),