A method is proposed to perform the spaceborne Synthetic Aperture Radar（SAR） image processing. The time-domain/frequency-domain correlation algorithm is used to carry out azimuth compression

and relationship of multi-look processing sub-image is used to estimate the deviations of Doppler central frequency and Doppler frequency rate caused from antenna direction error or SAR moving distable and to perform image restoring. The result of computer simulation shows that this method is effective.