To suppress the deception jamming for synthetic aperture radar (SAR), the anti-jamming method of random initial phase combined with amplitude limitation for imaging radar was proposed from the perspective of waveform design based on frequency modulated continuous wave (FMCW) system. The method is, first, add a random initial phase into transmitting signals and induced signals are transmitted to intercept the interfering signal which is used as a matched filtering function for azimuth compression. After amplitude limitation and inverse matched filtering, the real matched filter is used and the normal FMCW SAR imaging process can be implemented. The simulation results prove that the jamming signal ratio (J/S) can be raised to 30dB by this method. Compared with the method of random initial phase with direct matched filtering, anti-jamming performance is improved.