Due to the restriction of systemica lignment precision in static Fourier transform spectrometer, the compensation plate may produce a definite rotation angle relative to beam splitter.The rotation of the compensation plate makes the interferogram dislocation and the optical path difference change, and then induces the interferogram image distortion. By means of the calculation to the propagation path of beam in compensation plate, the relationship between interferogram dislocation and optical path difference change and rotation angle of compensation plate is gained, and according to which, the aliasing of interferogram images from various wavelengths aliasing and the spectrum distortion are simulated and analyzed. Toward the phase error introduced by rotation of compensation plate, arithmetic of resolving the linear equation by discrete spectrum sequence is brought forward, the result indicates that the error spectrum can be corrected effectively.