diff --git a/dictdiffer/utils.py b/dictdiffer/utils.py
index 3194f9f..034eecd 100644
--- a/dictdiffer/utils.py
+++ b/dictdiffer/utils.py
@@ -201,9 +201,10 @@ def nested_hash(obj):
         if isinstance(obj, (list, tuple)):
             return hash(tuple(map(nested_hash, obj)))
         elif isinstance(obj, set):
-            return hash(tuple(map(nested_hash, sorted(obj))))
+            return hash(frozenset(obj))
         elif isinstance(obj, dict):
-            return hash(tuple(map(nested_hash, sorted(obj.items()))))
+            return hash(frozenset((key, nested_hash(value))
+                                  for key, value in obj.items()))
 
 
 def dot_lookup(source, lookup, parent=False):
diff --git a/tests/test_utils.py b/tests/test_utils.py
index fd2cbd9..fc84e76 100644
--- a/tests/test_utils.py
+++ b/tests/test_utils.py
@@ -146,3 +146,14 @@ def test_nested_hash(self):
         nested_hash((1, 2, 3))
         nested_hash(set([1, 2, 3]))
         nested_hash({'foo': 'bar'})
+
+
+    def test_nested_hash_mixed_set(self):
+        first = {1, 'one', (2, 3)}
+        second = {(2, 3), 'one', 1}
+        self.assertEqual(nested_hash(first), nested_hash(second))
+
+    def test_nested_hash_mixed_dict_keys(self):
+        first = {1: ['one'], 'two': {3, 'three'}}
+        second = {'two': {'three', 3}, 1: ['one']}
+        self.assertEqual(nested_hash(first), nested_hash(second))