By combining Backstepping technique, prescribed performance and robust control, a prescribed performance robust controller is investigated for a class of strict-feedback nonlinear systems with external disturbances. Firstly an equivalent error model is established by means of error transformation. The prescribed performance robust controller is designed step-by-step by choosing appropriate Lyapunov functions and utilizing Backstepping and robust control techniques. The transient and steady state performance is considered in the control strategy. The simulation results show the effectiveness of the proposed method.