Abstract: In order to compensate for the shortcomings of singlesatellite network and combine the advantages of singlesatellite network so as to provide users with a better quality of service, hybrid satellite networks are proposed. Every algorithm has different impact on the quality of service; so many current researches focus on how to design better hybrid satellite networks and satellite access method. After analyzing the characteristics of the GEO, MEO, LEO and HEO satellite networks and comparing their performances and complexities, a double 5 GEO +66 LEO satellite network and a satellite selection algorithm with multiple QoS constraints are designed in this paper. Finally, the correctness of this algorithm is verified via simulation.