Permanent magnet synchronous motor had many problems in vector control, such as frequent overshoot of speed and current, low steadystate accuracy and weak robustness. Three nonsingular fast terminal sliding mode controllers were adopted to replace the speed loop controller and current loop controllers used in traditional PI control, and the stability of the three controllers was proved by using Lyapunov function. The response waveforms of speed and current of using nonsingular fast terminal sliding mode controller and PI controller were analyzed by MATLAB/Simulink simulation software. The simulation results showed that the nonsingular fast terminal sliding mode controller had less overshoot, higher steadystate accuracy and stronger robustness.