This paper concerns with achieving fast and accurate control in swing nozzle of anti-aircraft missile with nonlinear system. Firstly, swing nozzle servo institutions and their load torque has been modeled; secondly, a fast terminal sliding mode control based on extended state observer has been proposed to reduce the influence of large disturbance and system uncertainty; finally, the controller designed has been studied and the stability of the control algorithm has been proved. The computer simulation results show that on the condition of large disturbance and system uncertainty, the fast terminal sliding mode control with extended state observer has high control accuracy and fast performance for swing nozzle servo system, and can effectively reduce the chattering. The results are in agreement with experimental data, which verifies the validity of the algorithm.