Due to the distortion of the air-gap magnetic field, the nonlinear characteristic of the inverter, and the setting of the dead-time, these factors cause the high-order harmonics existing in the winding currents of the permanent magnet synchronous motors (PMSMs), thus resulting the torque fluctuations. Firstly, according to the electrical dynamic equations of the PMSMs, the mathematical model for the dominant current harmonics is presented. Secondly, based on the 6th-order Park transformation matrices, the analytical expressions for the 5th- and 7th-order harmonics are subsequently derived. Then, the DC harmonic components are extracted by incorporating the low pass filter (LPF), the proportional integral (PI)-based controllers are introduced to suppress the current harmonics, and the calculated voltages are eventually injected into the designs of the current-loop regulators. Finally, the advantages and effectiveness of the proposed current harmonic suppression strategy for PMSMs are demonstrated through the simulation results.