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This letter presents a motion compensation solution for high-resolution automobile frequency-modulated continuous-wave (FMCW) synthetic aperture radar (SAR). The motion error model is proposed, and the characteristics of the motion error in automobile FMCW SAR are analyzed by comparing with that of airborne SAR. Furthermore, an effective compensation approach is presented, which can handle motion error while keeping the data well focused in the case of high resolution. Finally, we validate the formulated motion error model and compensation method by using simulated FMCW SAR data as well as the real data that were acquired by the Institute of Electronics, Chinese Academy of Sciences. The results show that the proposed method can work well for automobile FMCW SAR.