A novel matrix converter referred to as a boost AC-DC-AC matrix converter is proposed. The basic configuration of the new topology and its fundamental principle are firstly introduced, the analytic expression on the function of voltage transfer ratio and duty cycle is analyzed, the method of design sliding mode controller is clarified. Finally the validity and feasibility of the new topology are tested by simulation. The results indicate that the regulation of the voltage transfer ratio and output frequency can be realized optionally by the new converter, furthermore the harmonic distortion of waveform is low. So the inherent drawback of low voltage transfer ratio of conventional matrix converter is effectively settled. This study may provide inspiration for further engineering application.