In this letter, we investigate the ground user (GU) access control and unmanned aerial vehicle base station (UAV-BS) deployment design in a multiple UAV-BSs assisted wireless network. The objective of each GU is to maximize its own throughput, and the objective of each UAV-BS is to maximize the minimum throughput of GUs served by it. Firstly, we optimize the GU access control by game theory. The access control game is proved to be an exact potential game, and we use the best response algorithm to solve the Nash equilibrium (NE). Then, we optimize the UAV-BS deployment design through convex optimization theory. The simulation results demonstrate that the proposed approach outperforms other five baselines.