To decrease the frame frequency requirements of space-borne imager and improve the hyperspectral imager′ s observation ability of a dark object, motion compensation model and its engineering computation realization method are proposed. Firstly, The motion compensation theory of hyperspectral imager is introduced. Furthermore, The motion compensation model according to the uniform speed compensation method on the hyperspectral imager′s focal plane is established. The max observation time and interval are also presented in this paper. Finally, the optimized engineering computation method of the mathematical model is indicated.