Decision-making in multi-UAV beyond-visual-range air combat is an important research topic of modern air combat.According to the air combat situation and combat information,the revenue function of UAV air combat game and game payoff matrix under the information were established.Then,a mixed strategy Nash equilibrium method for air combat game was established based on Quantum Particle Swam Optimization (QPSO).The simulation result validates the feasibility and effectiveness of the proposed method,which supplies a scientific method for solving the problem of decision-making in beyond-visual-range air combat of UAVs.