Abstract Based on the short arc integral approach, we recovery 40th-degree TVG-SWARM monthly time-variable gravity field for 84 months from January 2015 to December 2021 by the precision orbit data of the SWARM satellites, and compared it with the monthly gravity fields of ASU, COST-G, IGG and ITSG. The results show that: 1) In terms of the geoid degree error and the spherical harmonic coefficient error spectrum of the gravity fields, the accuracy of the low-degree spherical harmonic coefficients of different SWARM is similar, especially the first 10-degree spherical harmonic coefficients are close to that of the ITSG-GRACE/GRACE-FO. 2) The spatial distributions of global terrestrial water storage change trends between different SWARM gravity fields and the ITSG-GRACE/GRACE-FO are in good agreement. In the Amazon basin, Greenland, Mississippi river basin and western Siberia region, the trend deviation values between the TVG-SWARM and ITSG-GRACE/GRACE-FO are 0.23 cm/a, 0.27 cm/a, 0.57 cm/a and 0.47 cm/a, respectively, and the correlation coefficients between them are all above 0.85, whose results are closest to the results of IGG-SWARM. This study indicates that the TVG-SWARM has reliable accuracy and can be used to monitor large-scale changes in terrestrial water storage.