Abstract: A new fuzzy sliding mode controller design method for permanent magnet synchronous motor(PMSM) is proposed to solve the problems caused by chattering and external interference. Firstly, based on the two theories of sliding mode control and fuzzy control, global fast terminal sliding mode control is introduced into the speed ring, and a new compound reaching law is designed, which can weaken buffeting and make the system reach steady state quickly in a finite time. Then, the absolute value of the derivative of the Lyapunov function is used as compensation to construct an adaptive interference estimator to accurately estimate the external interference, and then a global fast terminal fuzzy sliding mode controller is designed. Through simulation and comparison experiments, the controller can quickly converge to a stable state and effectively suppress the buffeting of the traditional sliding mode controller, which verifies the effectiveness of the proposed method.