The AC/DC Boost APFC converter is taken as the main topology to construct the circuit model. In view of the system uncertainty, a power factor correction control system based on single neuron PI control is designed in this paper. In order to verify the effectiveness of the proposed PFC control scheme, a comparative simulation experiment between the proposed control method and double closed-loop PI control method is carried out. The simulation results show that the control system proposed in this paper can allow the input current in phase with the grid voltage and avoid the crossover distortion at the zero crossing point of current. When the load changes within a certain range, the sinusoid of input current can still be guaranteed using single neuron PI control, the power factor is higher and above 0.99, and the total harmonic distortion is smaller. The system has good dynamics and static performance as well as strong adaptability and robustness.