The current harmonics of the permanent magnet synchronous motor(PMSM) can be rejected by using the conventional proportional-integral-resonant(PI-RES) current controller.However, when PMSM running under high ratio of the output frequency over the sampling frequency condition, the phase currents will oscillate due to the one sample time input delay of the digital controller.To address this issue, the predictive proportional-integral-resonant(PPI-RES) current control strategy is proposed.The proposed algorithm can compensate the input delay effectively by predicting the disturbance voltages and the current errors based on the current errors differential model and integral model respectively.The simulation results show the effectiveness of the proposed algorithm.