A new digital predictive control strategy for a single-phase boost power factor correction (PFC) converter is presented in this paper, to reduce the harmonic distortion and improve the dynamic response. Based on the converter circuit structure, the values of output voltage and inductor current of next switching cycle are predicted in advance. The steady-state algorithm and the dynamic-state algorithm are implemented respectively, the duty cycle is calculated only via the predicted output voltage and inductor current values during the steady process, and the optimized duty cycle is predicted during the dynamic process, to improve the characters of PFC converter. The single-phase boost PFC converter with the proposed digital predictive control strategy has been implemented via the field programmable gate array (FPGA). The experimental results indicate that the proposed digital control strategy can improve the power factor and the dynamic response of PFC converter simultaneously.