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A new AC-DC-AC matrix converter topology based on Cuk 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, and the rationale of double-loop control strategy is clarified. Finally the validity and feasibility of the new topology are tested by means of computer simulation and prototype experiment. The results indicate that the regulation of the voltage transfer ratio and of the output frequency can be adequately implemented by these new converters with low harmonic distortions of waveform. This study suggests that the problem of low voltage transfer ratio, which has been an inherent drawback of the traditional MCs, can be effectively overcome, and the approach may provide inspiration for further engineering application.