Flight conflict resolution is very important for UAVs flight safety. Genetic algorithm(GA) has some shortcomings in solving UAVs conflict resolution. For example, GA has slow solution speed and causes large delay distance. Aiming at these shortcomings, a method of UAVs conflict resolution based on quantum genetic algorithm(QGA) was proposed in this paper, which adopted the qubits coding and designed the forced optimization strategy of delay exponential function and course-changing optimization strategy. The quantum rotation gate was used to realize the evolution of the individuals. The proposed method was compared with GA in many aspects, such as delay distance, conflict resolution tracks and so on. The simulation results show that compared with GA, the proposed method has faster solution speed, higher solution quality, smoother conflict resolution tracks and less flight delay. So the proposed method has good effectiveness and application value in UAV conflict resolution.