The research shows that the development trend of power factor correction (PFC) circuit is to continuously improve its conversion efficiency to meet higher requirements. In this paper, a totem pole bridgeless PFC rectifier with a power of 6.6 KW is designed. The diode in the traditional totem pole topology is changed to a low frequency switch tube. A composite control algorithm combining repetitive control algorithm with proportional integral (PI) control algorithm is proposed, which improves the steady-state characteristics of PI control, reduces the harmonic distortion of input current, and improves the input power factor. In order to test the effectiveness of the control strategy, the Simulink tool of MATLAB software is used to simulate the main circuit and control circuit model. FFT analysis of the simulated current waveform shows that the totem pole bridgeless PFC using the composite control can theoretically obtain good electrical performance.