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Circular antenna array has gained immense popularity in the field of communications. It has been proved to be a better alternative over other types of antenna array configurations due to its all-azimuth scan capability, and a beam pattern which can be kept invariant. This paper is basically concerned with the thinning of a large multiple concentric circular ring arrays of uniformly excited isotropic antennas based on Particle Swarm Optimization with Constriction Factor and Inertia Weight Approach (PSOCFIWA) method. In this paper a 9 ringed Concentric Circular Antenna Array (CCAA) with central element feeding is considered. The computational results show that the number of antenna array elements can be brought down from 279 to 135 with the simultaneous reduction in Side Lobe Level (SLL) of -20.56 dB with a fixed half power beamwidth.