diff --git a/Lib/test/test_tuple.py b/Lib/test/test_tuple.py
index 4fe299f18261..a3f40dd07d62 100644
--- a/Lib/test/test_tuple.py
+++ b/Lib/test/test_tuple.py
@@ -41,6 +41,25 @@ def f():
                 yield i
         self.assertEqual(list(tuple(f())), range(1000))
 
+    def test_hash(self):
+        # See SF bug 942952:  Weakness in tuple hash
+        # The hash should:
+        #      be non-commutative
+        #      should spread-out closely spaced values
+        #      should not exhibit cancellation in tuples like (x,(x,y))
+        #      should be distinct from element hashes:  hash(x)!=hash((x,))
+        # This test exercises those cases.
+        # For a pure random hash and N=50, the expected number of collisions
+        #      is 7.3.  Here we allow twice that number.
+        #      Any worse and the hash function is sorely suspect.
+
+        N=50
+        base = range(N)
+        xp = [(i, j) for i in base for j in base]
+        inps = base + [(i, j) for i in base for j in xp] + \
+                     [(i, j) for i in xp for j in base] + xp + zip(base)
+        collisions = len(inps) - len(set(map(hash, inps)))
+        self.assert_(collisions <= 15)
 
 def test_main():
     test_support.run_unittest(TupleTest)
diff --git a/Misc/NEWS b/Misc/NEWS
index ab705af7bdc5..2c5dfd9b95f0 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -12,6 +12,9 @@ What's New in Python 2.4 alpha 1?
 Core and builtins
 -----------------
 
+- Improved the tuple hashing algorithm to give fewer collisions in
+  common cases.  Fixes bug  #942952.
+
 - Implemented generator expressions (PEP 289).  Coded by Jiwon Seo.
 
 - Enabled the profiling of C extension functions (and builtins) - check
diff --git a/Objects/tupleobject.c b/Objects/tupleobject.c
index 159dc44fd07e..4cb80f0ed50a 100644
--- a/Objects/tupleobject.c
+++ b/Objects/tupleobject.c
@@ -262,15 +262,16 @@ tuplehash(PyTupleObject *v)
 	register long x, y;
 	register int len = v->ob_size;
 	register PyObject **p;
+	long mult = 1000003L;
 	x = 0x345678L;
 	p = v->ob_item;
 	while (--len >= 0) {
 		y = PyObject_Hash(*p++);
 		if (y == -1)
 			return -1;
-		x = (1000003*x) ^ y;
+		x = (x ^ y) * mult;
+		mult += 69068L + len + len;
 	}
-	x ^= v->ob_size;
 	if (x == -1)
 		x = -2;
 	return x;