This paper constructs an evaluation index system for social governance level,the measures show that ,from 2007 to 2016, the social governance level shows the trend of“east high and west low”of 31 provincial-level administrative regions;On this basis, using the theory of gravity center and correlation formulas,this paper studies the spatial and temporal evolution and coupling of social governance gravity center and economic gravity center of China.The results show that the social governance gravity center is situated in the south-central area of Henan province,and keeping close to the geometric center, in which the degree of imbalance in longitudinal direction is greater than that in latitudinal direction；The social governance gravity center and economic gravity center have been moving in the southwest direction, but the distance between the two groups shows an increasing trend, and the spatial distribution difference is obvious; The change of consistency index of social governance gravity center and economic gravity center increases,but the space overlap decreases,the space coupling of gravity centers is not high.