In this paper, a design method of thinned concentric ring arrays base on SimulatedAnnealingbased Particle Swarm Optimization (SAPSO) is proposed. Taking the position of elements as variables, first null beamwidth (FNBW) and peak side lobe level as fitness function, the convergence velocity of the method is improved and the local optimum can be effectively escaped combined with the advantages of the simulated annealing algorithm and the particle swarm optimization algorithm. The simulation results demonstrate that compared with the existing four popular methods of thinning concentric ring array, the first null beamwidth of the obtained thinned array is retainable equal to that of the full array and the peak side lobe level is reduced considerably.