Abstract: In order to solve the problem of numerical simulation of the helicopter motion in wind shear and study the characteristics of the helicopter dynamic response to wind shear, one-dimensional and two-dimensional wind shear models were set up, nonlinear system mathematical model of helicopter flight dynamics was concerned with the consideration of the control system and Runge-Kutta method was used to simulate the forward flight. It shows that different wind gradients of longitudinal air velocity have different impacts on major parameters dynamic response of helicopter and every kind of wind gradients should not be neglected in different situations, particularly, in the situation involved here, the most dangerous environment comes from the integral two-dimensional wind shear model, and the impact on helicopter in the low-attitude flight should be noted. It also shows that this numerical simulation method works effectively in the study of dynamic response to complicated wind shear of helicopter nonlinear system mathematical model