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In the low-orbit satellite communication system, the initial synchronization technology is a crucial step, and the signal synchronization performance is affected by the Doppler frequency offset of the low-orbit satellite channel. In order to reduce the impact, the ground 5G initial synchronization algorithm is used for reference , Perform local PSS integer frequency offset processing in PSS detection, expand the frequency estimation range, reduce the initial synchronization time, and its correct detection rate is 1.5dB higher than the traditional algorithm; in the fractional frequency offset estimation, the segmented processing is used Compared with the traditional algorithm, the accuracy of the PSS differential cross-correlation algorithm is improved by 1 to 2dB. Finally, simulation shows that the algorithm can complete the synchronization signal detection of the initial access process in a high dynamic, low signal-to-noise ratio environment, and can meet the downlink synchronization requirements of the low-orbit satellite communication system.