The conventional discontinuous PWM (DPWM) can provide several advantages in a direct matrix converter (DMC), such as less switching number and less execution time for modulation signals' calculation. However, it suffers from high common-mode voltage (CMV), which may cause damage to the DMC-based system. This paper proposes a novel DPWM method to not only mitigate common-mode voltage (CMV) but also further improve the conversion efficiency. In this method, the switching sequence is obtained in a new way using two medium and two small input line voltages, increasing the conversion efficiency. Besides, the proposed DPWM employs a rotating vector instead of a zero vector, which causes the CMV to reduce by 50% compared to conventional DPWM. Notably, the proposed DPWM provides the above advantages while maintaining low total harmonic distortion (THD). Simulations and experiments have been conducted to verify the proposed DPWM method's effectiveness. The results of these tests support the claims made in the paper regarding the reduction of CMV, improved efficiency, and low THD.INDEX TERMS Commutation method, Common mode voltage (CMV), Discontinuous pulse width modulation (DPWM), Direct matrix converter (DMC), Efficiency.