The FFT are widely used in various areas such as telecommunications (radio communications links and telephone networks), speech and image processing, medical electronic and voice signal processing and data acquisition. This paper concentrates on developing Fast Fourier Transform (FFT). Based on Decimation-In-Frequency (DIF) Radix-2 algorithm and 8-points computation, this paper used VHDL as a design entry. This paper gives a better idea to implement FFT algorithm using VHDL for behavior modeling and compare result with Mat lab.