Quasi-single-stage AC/DC converter has the advantages of fewer devices, simple control strategy, and high-power density. Based on the traditional quasi-single-stage AC/DC converters, this paper proposes a new topology with a set of differential-mode coupling inductors based on magnetic integration to solve the drawbacks of the existing single-phase quasi-single-stage AC/DC converter, such as low power factor and extensive input current harmonics. Furthermore, the burst switch is added to broaden the operating range of the converter. This paper proposes the working principle and the power flow of the novel quasi-single-stage AC/DC converter. Then the working mode and equivalent circuit of the previous power factor correction (PFC) circuit are analyzed. Finally, the 400 W experimental prototype is built to verify the working principle of this novel circuit. The experimental results show that the novel quasi-single-stage AC/DC converter can achieve a high power factor under the condition of cost-saving, and has effective electro-magnetic interference (EMI) suppression.