With the continuous development of the charge coupled device (CCD), the time delay integration charge coupled device (TDI-CCD) has become the first choice for high-resolution, large F number, compact space camera. However, due to the distortion of the optical system, in the process of TDI-CCD integral imaging, the image motion is inevitable, and eventually leads to the blurred image, and then image modulation transfer function (MTF) decreases. This paper analyzes the reason of the image motion caused by optical system distortion, and gives the expression of the MTF declined coefficient fMT,D by the distortion effects. From the point of view of optical system design, the method of restricting fMT,D is researched, and the results of the optical system design are given. Low distortion, wide field coaxial bias field fourth reflective optical system, with the focal length f′=9000 mm, F number of 13.33, and imaging spectral range of 400~700 nm, is designed. The design results demonstrate that the wavefront error is better than λ/21 and the fMT,D generated by the distortion is 0.969 in the using field angle 2ω=2°. It is proved that the system well suppresses the impact of distortion on integral imaging optical system. This study could provide the reference for high-resolution, wide field, large F number, and compact space camera design.