For enhancing the visual axis stability accuracy and robustness of the airborne photoelectric stabilization platform, a fuzzy nonsingular fast terminal sliding mode active disturbance rejection control strategy is proposed. Firstly, a nonsingular fast terminal sliding surface is used to enhance the convergence rate of the system state in the sliding phase. Secondly, the fast power reaching law with fuzzy correction term is established to suppress chattering. The introduction of fuzzy logic enables the controller parameters to be adjusted according to the error changes.On this basis, the linear extended state observer is used for strengthening the disturbance rejection function of the system. Then, the stability of the system is analysed by Lyapunov theorem. Finally, a simulation comparison experiment is carried out under the disturbance and parameter perturbation. The simulation results show that the system based on the proposed method is more robust than the other four control algorithms.