Abstract: This paper presents an approach for analysis of coverage time and handoff number on the mobile LEO satellite communication systems, which fully reflects the random distribution characteristics of the users. Based on the distribution of the user locations, the statistical models of coverage time on satellites and beams are proposed, and the lower bound calculations of the expected number on inter-beam handoff and inter-satellite handoff are derived. Simulation results demonstrate the effectiveness of the proposed algorithms, based on the Iridium communication systems model including the parameters of constellation and earth station, the model of the multi-beam array antennas.