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Obtaining a wide null over a certain angular range and lower values of side lobe levels finds extensive applications in communication and radar engineering. The high side lobe level can degrade the system performance as well as antenna power efficiency significantly. In this paper, we present the iterative Fast Fourier technique to generate wide nulls while keeping the side lobe level to its minimum value. Advantage of this technique is very high computational speed. This is because of the fact that the core calculations are based on direct and inverse fast Fourier transforms (FFT). The simulation results have shown that this technique is able to find suitable weights vector to reduce the side lobe power for the given null depth.