The direct control of alternating current is difficult to be realized by the single-phase PWM rectifier. In order to make the system have high control performance and take the many advantages in nonlinear system control aspects, a strategy based on back-stepping method is analyzed and the model of single-phase PWM rectifier is introduced. The Lyapunov functions of the voltage and current loop are designed respectively according to the energy relations of inductance and capacitance, by the negative definite of the function derivative so that the stability of system is deduced. The simulation based on the PSIM is carried out and the circuits of single-phase PWM full bridge rectifier with IGBT as switches are tested. The experimental results show that the scheme can guarantee the tracking error asymptotically converges, eventually make the system asymptotically stable and explain the system design is correct and effective.