The problem of fixed-time tracking control is investigated for a class of strict-feedback nonlinear systems. Based on the backstepping control strategy and Lyapunov stability theory, the sufficient conditions and design steps for globally fixed-time stable of the system are given. The proposed backstepping control scheme eliminates the singularity problem that may occur in the controller design, and ensures that the tracking error converges to a small neighborhood of the origin within fixed-time interval, meanwhile, the convergence time is independent of the initial states of the system. Finally, the effectiveness of the proposed scheme is verified by a numerical simulation example.