The output voltage and reference current are to be considered in the design of voltage outer loop for boost PFC converter. However, the dynamic response of output voltage and reference current accuracy affects each other, which complicates the compensator design. In this letter, a voltage outer-loop compensator method is proposed to design the compensator parameters by non-dominated sorting and hierarchical clustering algorithms with the output voltage dynamic performance and reference current accuracy as the objectives, respectively. It ensures the reference current accuracy while improving the performance of output voltage dynamic response. The experimental results verify the effectiveness of the method.