Imaging motion compensation is one of the key technologies to improve the imaging quality in infrared detector based on the satellite. The control system of the fast steering mirrors was proposed to compensate the imaging motion respectively in the pitching direction and azimuth direction, considering the optical system and the working mode for the infrared detector based on the satellite. Firstly, the principle of infrared remote sensing and imaging motion were introduced. Secondly, the design features and components of optical system of the infrared detector were analyzed in detail. Thirdly, the causes of imaging motion in the infrared detector on orbit was analyzed, and the imaging motion value both in the pitching direction and azimuth direction was calculated according to the optical system and imaging working mode. Finally, the scheme of image motion compensation was proposed and the hardware system was designed in detail. The calculated result shows that the range of movement and acceleration of the image motion compensation can meet the precision requirements for infrared detector.