diff --git a/python/paddle/fluid/io.py b/python/paddle/fluid/io.py
index d5963675a82a077f2469f838985350a75a2539d3..313855b6c55d42293fff99e7f07ae1f6efab0892 100644
--- a/python/paddle/fluid/io.py
+++ b/python/paddle/fluid/io.py
@@ -22,6 +22,7 @@ import logging
 import pickle
 import contextlib
 from functools import reduce
+import sys
 
 import numpy as np
 import math
@@ -1715,7 +1716,7 @@ def _unpack_saved_dict(saved_obj):
     unpack_infor = {}
     for key, value in saved_obj.items():
         if isinstance(value, np.ndarray):
-            MAX_NUMBER_OF_ELEMENT = 2**22
+            MAX_NUMBER_OF_ELEMENT = int((2**30 - 1) / value.dtype.itemsize)
             num_element = np.prod(value.shape)
             if num_element > MAX_NUMBER_OF_ELEMENT:
                 unpack_infor[key] = {}
@@ -1809,8 +1810,18 @@ def save(program, model_path):
     parameter_list = list(filter(is_parameter, program.list_vars()))
     param_dict = {p.name: get_tensor(p) for p in parameter_list}
     param_dict = _unpack_saved_dict(param_dict)
-    with open(model_path + ".pdparams", 'wb') as f:
-        pickle.dump(param_dict, f, protocol=2)
+
+    # When value of dict is lager than 4GB ,there is a Bug on 'MAC python3.5/6'
+    if sys.platform == 'darwin' and sys.version_info.major == 3 and (
+            sys.version_info.minor == 5 or sys.version_info.minor == 6):
+        pickle_bytes = pickle.dumps(param_dict, protocol=2)
+        with open(model_path + ".pdparams", 'wb') as f:
+            max_bytes = 2**30
+            for i in range(0, len(pickle_bytes), max_bytes):
+                f.write(pickle_bytes[i:i + max_bytes])
+    else:
+        with open(model_path + ".pdparams", 'wb') as f:
+            pickle.dump(param_dict, f, protocol=2)
 
     optimizer_var_list = list(
         filter(is_belong_to_optimizer, program.list_vars()))
@@ -2169,6 +2180,7 @@ def load_program_state(model_path, var_list=None):
     with open(parameter_file_name, 'rb') as f:
         para_dict = pickle.load(f) if six.PY2 else pickle.load(
             f, encoding='latin1')
+    para_dict = _pack_loaded_dict(para_dict)
 
     opt_file_name = model_prefix + ".pdopt"
     if os.path.exists(opt_file_name):
@@ -2220,6 +2232,7 @@ def set_program_state(program, state_dict):
 
             static.set_program_state(prog, program_state)
     """
+    state_dict = _pack_loaded_dict(state_dict)
     parameter_list = list(filter(is_persistable, program.list_vars()))
 
     used_para_list = {}
diff --git a/python/paddle/fluid/tests/unittests/test_paddle_save_load.py b/python/paddle/fluid/tests/unittests/test_paddle_save_load.py
index 3d5c8dfb480475dea24ebc011ed4940d70a254d2..3a8531db6f876c66ba51e28b4f9c9b4be1b6b682 100644
--- a/python/paddle/fluid/tests/unittests/test_paddle_save_load.py
+++ b/python/paddle/fluid/tests/unittests/test_paddle_save_load.py
@@ -16,6 +16,7 @@ from __future__ import print_function
 
 import unittest
 import numpy as np
+import os
 import paddle
 import paddle.nn as nn
 import paddle.optimizer as opt
@@ -90,13 +91,13 @@ class TestSaveLoadLargeParameters(unittest.TestCase):
         layer = LayerWithLargeParameters()
         save_dict = layer.state_dict()
 
-        path = "test_paddle_save_load_large_param_save/layer" + ".pdparams"
+        path = os.path.join("test_paddle_save_load_large_param_save",
+                            "layer.pdparams")
         paddle.save(layer.state_dict(), path)
         dict_load = paddle.load(path)
         # compare results before and after saving
         for key, value in save_dict.items():
-            self.assertTrue(
-                np.sum(np.abs(dict_load[key] - value.numpy())) < 1e-15)
+            self.assertTrue(np.array_equal(dict_load[key], value.numpy()))
 
 
 class TestSaveLoad(unittest.TestCase):
diff --git a/python/paddle/fluid/tests/unittests/test_static_save_load.py b/python/paddle/fluid/tests/unittests/test_static_save_load.py
index 0f4fca6d7f848afb826e81de164c8faa9dd2f77b..68d0e07e0cf2d8c1ca4b626a2afa2eb165a834b1 100644
--- a/python/paddle/fluid/tests/unittests/test_static_save_load.py
+++ b/python/paddle/fluid/tests/unittests/test_static_save_load.py
@@ -1324,7 +1324,7 @@ class TestStaticSaveLoadLargeParameters(unittest.TestCase):
                 name="static_save_load_large_x",
                 shape=[None, 10],
                 dtype='float32')
-            z = paddle.static.nn.fc(x, LARGE_PARAM)
+            z = paddle.static.nn.fc(x, LARGE_PARAM, bias_attr=False)
             place = paddle.CPUPlace()
             exe = paddle.static.Executor(place)
             exe.run(paddle.static.default_startup_program())
@@ -1334,16 +1334,55 @@ class TestStaticSaveLoadLargeParameters(unittest.TestCase):
             result_z = exe.run(program=prog,
                                feed={"static_save_load_large_x": inputs},
                                fetch_list=[z.name])
-            path = "test_static_save_load_large_param/static_save"
+            base_map = {}
+            for var in prog.list_vars():
+                if isinstance(var, framework.Parameter) or var.persistable:
+                    t = np.array(fluid.global_scope().find_var(var.name)
+                                 .get_tensor())
+                    # make sure all the paramerter or optimizer var have been update
+                    self.assertTrue(np.sum(np.abs(t)) != 0)
+                    base_map[var.name] = t
+
+            path = os.path.join("test_static_save_load_large_param",
+                                "static_save")
             paddle.fluid.save(prog, path)
+            # set var to zero
+            for var in prog.list_vars():
+                if isinstance(var, framework.Parameter) or var.persistable:
+                    ten = fluid.global_scope().find_var(var.name).get_tensor()
+                    ten.set(np.zeros_like(np.array(ten)), place)
+
+                    new_t = np.array(fluid.global_scope().find_var(var.name)
+                                     .get_tensor())
+                    self.assertTrue(np.sum(np.abs(new_t)) == 0)
 
             paddle.fluid.load(prog, path)
-            result_load = exe.run(program=prog,
-                                  feed={"static_save_load_large_x": inputs},
-                                  fetch_list=[z.name])
-            # compare results before and after saving
-            self.assertTrue(
-                np.sum(np.abs(result_z[0] - result_load[0])) < 1e-15)
+
+            for var in prog.list_vars():
+                if isinstance(var, framework.Parameter) or var.persistable:
+                    new_t = np.array(fluid.global_scope().find_var(var.name)
+                                     .get_tensor())
+                    base_t = base_map[var.name]
+                    self.assertTrue(np.array_equal(new_t, base_t))
+
+            # set var to zero
+            for var in prog.list_vars():
+                if isinstance(var, framework.Parameter) or var.persistable:
+                    ten = fluid.global_scope().find_var(var.name).get_tensor()
+                    ten.set(np.zeros_like(np.array(ten)), place)
+
+                    new_t = np.array(fluid.global_scope().find_var(var.name)
+                                     .get_tensor())
+                    self.assertTrue(np.sum(np.abs(new_t)) == 0)
+
+            program_state = fluid.load_program_state(path)
+            fluid.set_program_state(prog, program_state)
+            for var in prog.list_vars():
+                if isinstance(var, framework.Parameter) or var.persistable:
+                    new_t = np.array(fluid.global_scope().find_var(var.name)
+                                     .get_tensor())
+                    base_t = base_map[var.name]
+                    self.assertTrue(np.array_equal(new_t, base_t))
 
 
 class TestProgramStateOldSaveSingleModel(unittest.TestCase):
diff --git a/python/paddle/framework/io.py b/python/paddle/framework/io.py
index 66f843dc05ba082bcb046773273037ff4a3988a9..2dfad8dc10c9bd827037e16a1a428bce0ae8209a 100644
--- a/python/paddle/framework/io.py
+++ b/python/paddle/framework/io.py
@@ -19,6 +19,7 @@ import collections
 import pickle
 import six
 import warnings
+import sys
 
 import paddle
 
@@ -262,8 +263,17 @@ def save(obj, path):
     saved_obj = _build_saved_state_dict(obj)
     saved_obj = _unpack_saved_dict(saved_obj)
 
-    with open(path, 'wb') as f:
-        pickle.dump(saved_obj, f, protocol=2)
+    # When value of dict is lager than 4GB ,there is a Bug on 'MAC python3.5/6'
+    if sys.platform == 'darwin' and sys.version_info.major == 3 and (
+            sys.version_info.minor == 5 or sys.version_info.minor == 6):
+        pickle_bytes = pickle.dumps(saved_obj, protocol=2)
+        with open(path, 'wb') as f:
+            max_bytes = 2**30
+            for i in range(0, len(pickle_bytes), max_bytes):
+                f.write(pickle_bytes[i:i + max_bytes])
+    else:
+        with open(path, 'wb') as f:
+            pickle.dump(saved_obj, f, protocol=2)
 
 
 def load(path, **configs):
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