In a six-switch three-phase inverter, the conventional pulsewidth modulation (PWM) has six switching times in every switching period based on the average concept. The used multidimensional feedback quantized modulation (MDFQM) strategy selects one switching state and keeps it in every sampling period based on the minimization of filtered voltage errors between the desired voltage commands and the output voltages. The widths of the output voltage pulse are integer times the fixed sampling time in MDFQM. In this paper, two high-efficiency current control methods based on MDFQM are proposed. They integrate the MDFQM strategy and the current control function to minimize the filtered current errors between the desired current commands and the inverter current. Due to the main advantages of less switching numbers and more closed fundamental current, a high-efficiency performance is achieved. The proposed methods are applied to the current control of a three-phase permanent-magnet synchronous motor. The simulation results and experimental results verify the effectiveness of the proposed methods.