Aiming at the influence of errors and interference in the phased array seeker on the array beam,proposes a progressive algorithm combining weight approximation and genetic algorithm to achieve the maximum optimization of the beam.The algorithm comprehensively considers the interference of the mutual coupling effect of the array on the beam and the quantization error.Based on the approximate weights,the sidelobe level,zero depth and beam width of the array beam are used as optimization indicators,and genetic algorithms are introduced to continuously approach the realization of the beam Optimization.The progressive algorithm is optimized on the basis of approximate weights,which further improves the performance of the beam and has strong flexibility.