With the integration progress of space- and ground-based Internet, the demand for large-scale satellite networks is increasing. However, the efforts on constellation design for large-scale satellite networks are rarely observed. Based on the single satellite coverage model and multiple coverage theory of circular orbit constellation, this paper proposes a large-scale satellite constellation design method to meet the requirements of multi-coverage. Finally, the influence of constellation parameters on coverage performance is simulated and analyzed, and the correctness of constellation parameters is verified by simulation.