The adaptive quantum particle swarm algorithm (AQPSO) is adopted to perform multi-objective beam forming and control the sidelobe level for base station array antennas. The main beam is formed in the desired signal direction. The null pattern is formed in the direction of interference signal. The real coding is adopted to reduce the complexity of algorithm. The adaptive optimization factor is introduced to improve the convergence speed of the algorithm. The dynamic quantum rotation gate is introduced to enhance the global optimization ability of the algorithm. The data of array element is combined to improve the agreement of synthesized pattern and actual pattern. Comparing the synthesis performance of AQPSO, particle swarm optimization (PSO) and genetic algorithm (GAPSO), it is concluded that AQPSO has the characteristics of fast convergence and global searching.