The invention discloses a novel topology of a double-stage matrix converter and a common-mode voltage suppression strategy of the double-stage matrix converter. According to the topological structure,a one-way switch tube is connected with a direct current side upper bus and a direct current side lower bus of a conventional double-stage matrix converter in series separately; when the direct-current side switch tube is switched off, the inversion-stage effective vector is equivalent to an inversion-stage zero vector when the direct-current side switch is switched on, and the inversion-stage zero vector is called as an inversion-stage equivalent zero vector; according to the novel topology, the equivalent zero vector is utilized to participate in modulation, and the inversion stage seven-section type space vector modulation is optimized into three-section space vector modulation, and meanwhile, the inhibition of common mode voltage is realized. The novel topology has the advantages thatthe common mode voltage of the load side can be reduced to be 0.577 times of the peak value of the input phase voltage in the whole area at the voltage transmission ratio of 0-0.866, and the inhibition effect is equivalent to that of the prior art; the current conversion control strategy is simple, the rectification stage can be directly subjected to current conversion, and the reliability of thesystem is improved; and the optimized modulation strategy is simple and easy to realize, the total actual switching frequency of the system is basically unchanged compared with that in a traditionalmodulation strategy, the actual switching frequency of the inversion stage is greatly reduced, the system switch loss distribution is changed, the output current harmonic distortion rate is lowered, the input current quality is kept unchanged, and the electric energy quality is improved.