The relationship between the vibration of a space camera and its Modulate Transfer Function (MTF) degeneration is investigated. A suitable limitation for a satellite platform is developped through this research. Mathematical modeling of a vibrating MTF is calculated based on a vibration moment method.The MTF curve can be deduced from the vibration functions or curves. The vibrating MTF calculations uses Graphic User Interface (GUI) to develop an software for some space cameras. MTF values under sinusoidal vibrations contain random noise and are calculated with different amplitudes and frequencies.Requirements of the satellite platform vibration is that the angle amplitude of vibration must be less than 0.05″, and the vibration frequency should not be more than 200 Hz. MTF degeneration caused by random vibration is analyzed by simulation to relate image quality degeneration with MTF vibration. Image analysis for the MTF shows good agreements with the MTF calculated by the vibration model.