diff -r 26c73ee77fbb Lib/collections/__init__.py
--- a/Lib/collections/__init__.py   Mon Sep 26 14:08:47 2016 +0200
+++ b/Lib/collections/__init__.py   Mon Sep 26 21:17:15 2016 +0300
@@ -1018,6 +1018,14 @@
             d[key] = value
         return d
 
+    def __reduce__(self):
+        reduce_value = super().__reduce__()
+        # Copy the normal dict
+        inst_dict = reduce_value[2].copy()
+        # Copy the data inside
+        inst_dict["data"] = inst_dict["data"].copy()
+        return reduce_value[:2] + (inst_dict,) + reduce_value[3:]
+
 
 
 ################################################################################
@@ -1090,6 +1098,13 @@
             self.data.extend(other.data)
         else:
             self.data.extend(other)
+    def __reduce__(self):
+        reduce_value = super().__reduce__()
+        # Copy the normal dict
+        inst_dict = reduce_value[2].copy()
+        # Copy the data inside
+        inst_dict["data"] = inst_dict["data"][:]
+        return reduce_value[:2] + (inst_dict,) + reduce_value[3:]
 
 
 
diff -r 26c73ee77fbb Lib/test/test_collections.py
--- a/Lib/test/test_collections.py  Mon Sep 26 14:08:47 2016 +0200
+++ b/Lib/test/test_collections.py  Mon Sep 26 21:17:15 2016 +0300
@@ -38,6 +38,20 @@
                 b=b.__name__,
             ),
         )
+
+    def _copy_test(self, obj):
+        # Test internal copy
+        obj_copy = obj.copy()
+        self.assertIsNot(obj.data, obj_copy.data)
+        self.assertEqual(obj.data, obj_copy.data)
+
+        # Test copy.copy
+        obj.test = [1234]  # Make sure instance vars are also copied.
+        obj_copy = copy.copy(obj)
+        self.assertIsNot(obj.data, obj_copy.data)
+        self.assertEqual(obj.data, obj_copy.data)
+        self.assertIs(obj.test, obj_copy.test)
+
     def test_str_protocol(self):
         self._superset_test(UserString, str)
 
@@ -47,6 +61,16 @@
     def test_dict_protocol(self):
         self._superset_test(UserDict, dict)
 
+    def test_list_copy(self):
+        obj = UserList()
+        obj.append(123)
+        self._copy_test(obj)
+
+    def test_dict_copy(self):
+        obj = UserDict()
+        obj[123] = "abc"
+        self._copy_test(obj)
+
 
 ################################################################################
 ### ChainMap (helper class for configparser and the string module)