Tracking moving target in space with optical payload on satellite platform has been a key technology in the development of surveillance satellite. How to improve the pointing range, tracking accuracy and maneuverability of satellite optical axis is the focus of this paper. In order to improve the performance of satellite optical axis pointing, the scheme of satellite attitude adjustment can't meet the requirements alone. The analysis shows that, in order to improve the pointing range, tracking accuracy and maneuverability of the satellite optical axis, the effective cooperation of the satellite attitude control system, optical turret control system and fast-mirror control system is necessary. The satellite attitude control system, optical turret control system and fast-mirror control system were analyzed and modeled to confirm the bandwidth of each system. A compound pointing compensator was designed with the frequency response method through the PQ feedback system. The relative motion trajectory of the satellite and the target was simplified and simulated. The simulation data show that the tracking error is reduced from 0. 6 degrees to 0. 05 degrees, the effectiveness of the optical axis compound pointing control method is verified.