Abstract: On the basis of using a laser tracker for data measurement, a new measurement system is established to measure the vertical tail tilt angle of the CESSNA172 aircraft and obtain accurate measurement data. The grey prediction model is used to predict the corresponding relationship between the vertical tail tilt angle and flight time of the CESSNA172 aircraft. After verification, the grey prediction model can effectively predict the variation of the vertical tail inclination angle of CESSNA172 aircraft with flight time, and the model has high prediction accuracy.