In this paper, authors have described the performance of improving the LCMV and MVDR beam forming using PSO algorithm. Primarily we have designed beam forming using LCMV and we have analyzed the performance of Array signal processing by extracting the parameters like weights, power and SINR. By using LCMV, we noticed minimum Signal to Interference Noise Ratio (SINR), occurrence of side lobes and interference. Eventually, we try to improve the performance by adopting PSO in to beam forming. We have observed that the performance is improved significantly. The analysis is extended with multiple sensor elements like M= 4/8/50/100. The entire analysis was performed in the MATLAB by using phased array system tool box and the corresponding outputs has been obtained. By comparing the LCMV and MVDR with PSO technique it results that optimized outputs are observed in PSO, which increases directivity, avoids interference and mitigate the side lobes.