Abstract: The error of the GRACE potential coefficients increases towards higher spherical-harmonic degrees, and the result of gravity anomalies computed from GRACE data will be dominated by errors such as stripes. Swenson proposed an empirical moving window filtering method to remove the correlation and shows a significant effect in the region on both sides of the equator, but it is not provided more details about the method in the paper. Many people did not get the desired effect followed the principle of Swenson when filtering. In this paper, we improved the technology of data processing and achieved the expected results. More, we calculated the global gravity change trends using GRACE data based on this method. The results can more clearly and reasonably reflect the location of gravity change and prove that the improved method is more reasonable and effective in producing GRACE data