Communication between LEO satellites and ground stations is in a complex channel environment, so it is a critical issue for the realization of that direct spread spectrum communication system for fast synchronization. Based on the characteristics of the LEO satellite channel, the paper proposes a selected automatic censoring excluding average (SACEA) method based on the automatic censoring cell average (ACCA) and the method improves the structure of ACCA in adaptive module to make it more suitable for the LEO satellite channel environment. The method uses excluding average (EA) method to overcome the performance shortcomings, which is against rain attenuation interference in satellite channel interference of the ACCA method. Simulation results show that the method shows performance advantages in synchronous for shorter time and higher probability for capture in the communication system between the LEO satellite and ground station.