Satellite platform vibrations make dispersive imaging spectrometer and objects generate relative movement in exposure time, which seriously affects the quality of spectral data. PHI was made as the model of dispersive spectrometer, the impact of pitch, roll, yaw and three-axis vibrations on spectral data were studied chiefly, and distorted spectral data cubes under various vibrations were simulated, then the general law of distortion spectral cube caused by satellite platform vibration was gained. The results show that the dispersive imaging spectrometer has high requirements for reduction of vibration amplitude, A small amplitude also can generate great influence on spectrum. The spectral data must be corrected and the vibration of satellite platform must be reduced to ensure the authenticity of spectrum.