Abstract: The moving average methods,including circumferential method and grid method,are extrapolated to gravity anomaly separation from traditional Cartesian coordinate system to spherical coordinate system.The effect of gravity anomaly separation depends upon the selected window size of moving average.In practice,a reasonable window size is estimated by the priori knowledge and trial.In gravity anomaly separation,there is the false anomaly,which can be removed by iteration.Model testing and actual application show that this method for gravity anomaly separation is better than truncation method between different degree of gravity field model to separate gravity anomaly,and the regional and residual gravity anomaly of the Earth have good coherence with actual geological tectonics.What's more,this method can be applied to global or local region.