Frequency modulation continuous wave (FMCW) radar has the merit of simple structure, small volume, high resolution in space and real-time character. So FMCW radar can detect and orientate the targets on the ground no mater how far they are. However, the measure precision is affected by the FFT method used in the FMCW radar system. In this paper, a new method for increasing the range and velocity measure precision by the Chirp Z-transform in the FMCW radar is proposed.Simulation results show that the proposed method can increase both the calculation efficiency and measure precision.