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A novel generalized method of discontinuous pulse width modulation (DPWM) strategies such as DPWM0, DPWM1, DPWM2 ,DPWM3, DPWMMAX and DPWMMIN usually called as DPWMx is proposed in this paper to minimize the switching loss for three-phase voltage source inverters. Six sectors are re-carved up into twelve ones. Analyzing and summarizing all kinds of conventional DPWMx strategies, come to a conclusion that the reference voltage of each III-type DPWMx strategy can be obtained by I-type DPWMx strategy by means of linear transformation. Substantial relations between I-type and III-type DPWMx strategies are debated. The feasibility of analyzing and implementing of the presented generalized DPWMx strategies is proved by theoretical analysis and simulation results.