One of the potential 5G communication techniques that could enable the explosive growth of wireless communication services is beamforming, which helps make effective use of the existing frequency band and maintain signal quality. The beamforming technique aims to shape the radiation pattern to be targeted at the desired user and effectively suppress noise and interference. In this paper, beamforming optimization using the Hybrid Particle Swarm Optimization algorithm and Gravitational Search Algorithm technique (PSOGSA) using Linear Antenna Array (LAA) by suppressing the Sidelobe Level (SLL) of LAA is presented. The optimization process is introduced to find the optimum elements amplitude excitation, and positions in the array. PSOGSA optimization result is illustrated in comparison with other existing algorithms. Simulation results demonstrate the effectiveness of using PSOGSA, which has achieved the most suppressed SLL. The recommended approach can be applied to different antenna array designs and is successful in resolving beamforming optimization problems.