Based on the linear array of time delay integration (TDI) charge coupled device (CCD) imaging principle, geometric distortion is analyzed in the process of attitude maneuver while the flexible satellite dynamic imaging. Because of the curvature of the earth and the attitude maneuver factors , the mapping shape of space geometry on focal plane is constantly changing. Dynamic imaging mode of space imaging geometry relationship between mathematics analytic expression is deduced based on the ray tracing point matching algorithm. Then using small satellite attitude control system simulation platform to verify experimentally TDI CCD camera mobile imaging fast geometric correction algorithm. The attitude determine angle accuracy and attitude stability is better than that of 0.05° and 0.005°/s. Results show that when the maximum scan angle of satellite is 45°, the designed algorithm can solve the problem of dynamic imaging geometric distortion and improve the quality of imaging.