Frequency modulated continuous wave (FMCW) radar is widely used in target measurement system, and the radar signal processing is the key to determine the accuracy of measurement.In this paper, a linear frequency modulation continuous wave (LFMCW) radar signal processing system based on DSP is designed to measure the target distance and realtive speed. And the system uses triangle wave modulation of linear frequency modulation continuous wave radar signal as transmitted signal. The basic structure and principle of LFMCW radar are discnssed in order to solve the only using fast Fourier transform (FFT) algorithm and the contradiction between the frequency resolution and the calculation time, improve the measurement efficiency of system，focuses on the signal processing algorithms of the radar signal processing systemFFT and ChirpZ transform(CZT) of the joint algorithm (FFT/CZT algorithm) to achieve, and analyzed the FFT/CZT algorithm by MATLAB simulation at the same time.The analysis results show that the FFT/CZT algorithm can significantly improve the efficiency and precision of the radar signal processing.