Abstract: Radon-Fourier Transform (RFT) is a kind of method which integrates radar target energy by integrating the target track in range-slow time domain according to the target motion parameters. Considering the two issues of high computation cost of RFT and the energy lose caused by quantization error without interpolation, a fast RFT method based on Chirp-Z Transform (CZT) is proposed, which implements in frequency domain, and combines its implement process and CZT algorithm together to solve the above issues successfully. In addition, the method can also eliminate the loss of match filtering by compensating the Doppler frequency of target without increasing the computation cost. The experiment results show that the integration performance of this method can almost achieve the optimal one under ideal condition.