A narrow-band imaging method for compound micro-motion space target is proposed. Due to the advantages of narrow-band radar in target detection and tracking, narrow-band radar is widely used in space target detection. For micro-motion space target, there is time-varying Doppler modulation, which contains the important structural information of the target. By applying the inverse Radon transform (IRT) method on the time-frequency image, the position of scattering centers of the target can be obtained and the narrow-band imaging can be realized. Narrow-band imaging reduces the requirement of radar bandwidth and has advantages in space target detection. In the real detection scene, the target motion is a composition of micro-motion and translation, which makes the narrow-band imaging method invalid. In this paper, based on the radar echo model of compound micro-motion space target, the time-varying Doppler modulation characteristics of the target are analyzed, and a compound micro motion narrow-band imaging method is proposed. Firstly, the micro-motion period is estimated based on the time-frequency correlation coefficient, and then the translational influence is removed by the Doppler cancellation method to realize the target translational parameter estimation, and then the translational compensation is achieved. Finally, the IRT is used to obtain the narrow-band image. The proposed method is not affected by the target translation, and can effectively achieve the narrow-band imaging of the compound micro-motion space target.