In this paper, a new hybrid optimization approach for the pattern synthesis of linear antenna array is proposed. Hybrid approach (TAGAPSO) contains Taguchi Algorithm(TA), Genetic Algorithm(GA) and Particle Swarm Optimization (PSO). The aim of the optimization is to obtain desired side lobe level and half power beam width of the linear antenna array. Optimization results obtained by TA, GA, PSO and TAGAPSO are compared. The results show that TAGAPSO is much better than TA, GA and PSO. Optimization goals satisfied via TAGAPSO are much better than the other methods. Results of TAGAPSO are also compared with the results obtained by High Frequency Structural Simulator (HFSS) in order to verify the results.