In order to solve the problem that the permanent magnet synchronous motor (PMSM) produces random disturbance in the actual operation process, and the motor state can not be constrained in the traditional backstepping method, a fuzzy adaptive backstepping method considering state constraints and stochastic disturbances is proposed for the position tracking control of PMSM stochastic systems. The barrier Lyapunov function (BLF) is introduced to constrain the state of PMSM. Fuzzy logic control method is used to deal with the stochastic nonlinear function in the motor model. The simulation results show that the proposed control method can overcome the influence of stochastic disturbance, track the target signal quickly, and ensure that the state of the motor system is in the given constraint space.