In order to enhance the ability of disturbance rejection and improve the accuracy of trajectory tracking control for ball and plate system, this article proposed a time-varying fast terminal sliding mode control based on backstepping technology. Firstly, the kinematic model of the ball and plate system is established, and a reasonable control strategy was determined on the basis of the system characteristics and control requirements. Secondly, taking the X-axis as an example, the time-varying sliding mode control law and low-pass filter containing the hyperbolic tangent function are designed, and the stability of closed-loop systems was obtained under the framework of Lyapunov stability theory. The simulation results show that the proposed method has higher control accuracy, stronger disturbance rejection ability and better control effect.