A novel three-phase/single-phase matrix converter composed of three-phase rectifier bridge and single-phase inverter bridge was proposed, and the converter used only unidirectional power transistor and no DC-link capacitor. The output of the three-phase rectifier bridge was six-pulse DC voltage bus by using synchronous rectifying control scheme based on sector judgment, and single-phase ac source with variable frequency and amplitude could be generated after single-phase inverter bridge. A 1.5kVA prototype was designed and build, and the match of PSIM simulational results and prototype experimental results verifies the feasibility of the proposed converter.