diff --git a/Lib/test/test_doctest.py b/Lib/test/test_doctest.py
--- a/Lib/test/test_doctest.py
+++ b/Lib/test/test_doctest.py
@@ -2528,6 +2528,20 @@
     TestResults(failed=1, attempted=1)
     """
 
+def test_run_doctestsuite_multiple_times():
+    """
+    It was not possible to run the same DocTestSuite multiple times
+    http://bugs.python.org/issue9736
+
+    >>> import unittest
+    >>> import test.sample_doctest
+    >>> suite = doctest.DocTestSuite(test.sample_doctest)
+    >>> suite.run(unittest.TestResult())
+    <unittest.result.TestResult run=9 errors=0 failures=4>
+    >>> suite.run(unittest.TestResult())
+    <unittest.result.TestResult run=9 errors=0 failures=4>
+    """
+
 ######################################################################
 ## Main
 ######################################################################