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Array antenna Synthesis is a basic research content of array antenna pattern. In different application scenarios, it is not only necessary to design antenna arrays in different forms, but also to combine array orientations and conduct analysis and optimization according to the requirements of different performance parameters, so as to obtain array orientations that meet the use requirements. In order to solve the problem that the traditional algorithm did not consider the main lobe gain constraint in pattern synthesis, an improved genetic algorithm for array pattern synthesis was proposed. A new fitness function is designed to meet the special requirement of the main lobe. At the same time, elite retention strategy is added in the method and dynamic crossover mutation probability is designed to improve the optimization effect of genetic algorithm. Simulation results show that the proposed algorithm can obtain a lower side lobe level with the main lobe gain guaranteed.