To solve the problems on the convergence rate and chattering existed in terminal sliding mode control, a continuous nonsingular fast terminal sliding mode controller is proposed. The double exponential reaching law with the variable coefficient is combined with the nonsingular fast terminal sliding mode manifold to improve the convergence rate during reaching and sliding phase. The states can converge rapidly to a zone in finite time in presence of perturbation, which is proved by using the Lyapunov stability theory. The proposed control law is essentially continuous such that the chattering is attenuated and the high precision is obtained. The proposed method is then applied to the photoelectric stabilized platform. Simulation results show the effectiveness of the proposed algorithm..