The control technology of a distortion control system for zoom scanning imaging was investigated to eliminate ground distortion of a long wave infrared camera on-orbit scanning imaging. A high-precision multi motor position synchronization algorithm was proposed taking the multi motor position synchronization of zoom scanning control into consideration. The synchronous positions of the zoom group motor and the compensating group motor at each point of the scanning time were set according to the design principle of zoom scanning imaging control. In particular, the zoom control system was designed to realize synchronous timing with the scanning control system, calculate the running velocity of the motor every 0.01 s according to the current position and the next moment synchronous position, and control the velocity of the motor in real time. The experimental results show that the position synchronization errors of the zoom group motor and the compensating group motor are within ±0.003 mm and ±0.002 mm, respectively, and the maximum ground sample resolution deviation in the track direction is within ±0.047 m. The images obtained from the long wave infrared camera in the process of continuous zoom scanning control are quite clear, and the distortion has been significantly eliminated, thus realizing zoom scanning imaging.