Abstract: In the high angle of attack and low altitude, it is easy to deviate from the trajectory, so the flight trajectory deviation correction control is needed to improve the flight stability. This paper presents a mathematical model of flight trajectory error feedback control based on Lyapunove dynamic inverse function. Mathematical model of motion and trajectory equation is constructed using longitudinal plane model, using the chain rule of the flight trajectory perturbation parameter estimation method using linearized Euler four elements in velocity coordinates calculation of attitude angle, flying at the heading angle, roll angle and pitch angle for constructing Lyapunove function constraint parameter model of Lyapunove through the dynamic inverse function derivation, functional construction control law of flight trajectory deviation error feedback control. The simulation results show that the model has better stability in flight control, higher tracking precision of attitude parameters, less error of trajectory deviation and better control quality.