In this paper, a Lyapunov control scheme using D-Q coordinate transformation is proposed for the boost PFC converter. A virtual steady operating point is constructed for this AC system through single-phase D-Q coordinate transformation. On this basis, the Lyapunov control equation is derived. In the outer-voltage loop, the load current is fed forward to improve the load dynamic response. Finally, the validity and superiority of the proposed control scheme are verified by the experimental results.