The Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT) play vital role in signal processing. It is often used in many communication systems. The proposed paper produces realization of N – bit FFT processor using Radix-4 algorithm. Radix-4 FFT processors have 3N/4 log4N complex multiplications and 3N log4N complex additions. N-bit processor contain N/4 butterfly for single stage. The single butterfly needs 12 complex adders and 3 complex multipliers. The proposed Radix-4 FFT processor is realized on VHDL platform using vertex FPGA.