In this paper, a finite-time fuzzy adaptive control method based on command filtering technology is proposed for induction motor position tracking control considering stochastic disturbance. Firstly, fuzzy adaptive technique is used to approximate the stochastic nonlinear function in the system. Secondly, the command filtering technique is used to solve the computational complexity problem caused by the repeated derivation of the virtual control function in the traditional backstepping method. Finally, the finite-time control method is combined with the command filtering technology to improve the convergence speed and anti-interference ability of the system. The simulation results show that the proposed method can make the system track the desired signal quickly and overcome the influence of stochastic disturbance.