In order to improve the performance of the Permanent Magnet Synchronous Generator (PMSG) under unbalanced and distorted gird voltage operating conditions, a novel Control Strategy Combining Repetitive (REP) control and Quasi-Proportional Resonant (QPR) control is proposed for PMSG grid-side converter. In the proposed control strategy, the current commands are dependent on the objectives of converter control when the grid voltage is unbalanced. The hybrid control strategy is applied in the two-phase stationary reference frame to eliminate the steady-state tracking error on the fundamental frequency current and suppress the total harmonic distortion. The block diagram of control system is presented, and the design methods of each block are studied. Meanwhile, the effect of the control strategy is investigated. Finally, the simulation results show that the proposed control strategy can effectively suppress active power pulsation and reduce the total harmonic distortion under unbalanced and distorted gird voltage operating conditions, verifying the correctness of the strategy.