In this paper, a finite-time command filter adaptive fuzzy backstepping controller is designed for the cascade continuous stirred tank reactors system. The backstepping adaptive method makes the controller design of the cascade continuous stirred reactor system simpler. The fuzzy logic system is used to approximate the complex nonlinear function in the system dynamic model, which can reduce the on-line calculation of the controller. The command filter technique is able to solve the "computing explosion" problem caused by classical backstepping control. The finite-time control method makes all output signals of the system can converge the reference variables fast and robust. The stability of the closed-up system is proved by Lyapunov analysis. Finally, Matlab simulation results show the effectiveness of the proposed controller, and it provides guidance for the application of finite-time command filter control technology in cascade continuous stirred tank reactors. Compared with the existing controller, the controller has the advantages of simple controller structure, low on-line calculation complexity, fast tracking speed and no static error.