The demographic change will change the domestic consumption together with the saving. The basic logic is that when the labor age population's ratio begins to fall, the consumption is increasing that savings will be lower. But if there is no social security or welfare such as pension and health security, the saving intention is also very strong. So it is not easy to say the relationship between savings and demographic change. In this paper, the theory of labor age dividend is discussed and the data of China's savings, GDP and the demographic change are used to see the relationships. Since saving will be affected by the social security system, the pension structure is also relevant in domestic saving. The international comparisons are made, and the social policy of increasing the saving is introduced.