In this paper, a broadside circular array antenna resting on x-y plane is assumed. Design aim here is to obtain the optimal combination of non-uniform angular positions of the elements and uniform radius for the array, so as to acquire the radiation with the lowest possible sidelobe peak (SLL) with least possible first null beamwidth (BWFN) increment. Optimum angular locations of elements are found using Real coded Genetic Algorithm (RGA).