Abstract: According to the characteristics of the store and forward LEO communication satellite constellation and the issue that the traditional constellation design methods can not optimizes simultaneously the coverage performance and network performance, a new store and forward communication satellite constellation design method which balances the coverage and network performance, is proposed, and the Non-dominated Sorting Genetic Algorithm (NSGA-II) is used to optimize this multi-objective and multi-constrained constellation design. A collaborative optimization simulation platform based on STK and OPNET is built，and the simulation result shows the effectiveness of the proposed constellation design methods.