Abstract:HXMT(Hard X-ray Modulation Telescope)is the first space science satellite in China. It is used for wide band and wide field X ray observation. In order to realize high sensitivity and high resolution X ray imaging and meet the demand of high precision satellite time by users, the general precision and high precision time synchronization suitable for space science satellite is designed. The satellite time is maintained through GPS time, bus broadcasting and Hardware second pulse output. The time synchronization system is explained in detail in this paper, and the application of time synchronization system is explained in the matching test of satellite and TT&C station, and on orbit test results.