The invention discloses an isolation-type single-inductor two-stage power factor correction converter and a control method thereof, and belongs to the field of a topological structure or a control method of a power factor corrector. The topological structure comprises an AC power supply, a single-phase half-wave rectification circuit and a bridge structure, wherein the AC power supply is providedwith a filtering device, the single-phase half-wave rectification circuit is connected with the AC power supply and is used for rectifying an output, the bridge structure comprises a FLYBACK convertercircuit used as a first stage and a BUCK converter circuit used as a second stage, and the second-stage circuit employs a secondary winding Ns of the FLYBACK converter L as an inductor. Power factorcorrection, low output ripple and rapid dynamic response can be achieved only by employing a transformer required by an inductive component namely FLYBACK converter and a control circuit, the defect of a traditional isolation-type two-stage power factor correction (PFC) converter such as a cascaded structure of the FLYBACK converter and a BUCK converter is overcome, and the problems of relativelymany main electrical appliances, relatively large volume, two control circuits needed, relatively high cost and the like are solved.