Second order selective harmonic repetitive control(SOSHRC) strategy with good frequency adaptability and dynamic performance, is widely used in grid-connected inverter control. To address the problems of the traditional SOSHRC strategy, such as the difficulty of using the stability analysis method and the conservative stability criterion, a novel second order selective harmonic repetitive control and proportional control(SOSHRC-PC) was proposed. Firstly, the structure and principle of the novel SOSHRC were designed, the novel SOSHRC-PC control strategy was introduced. Then, the stability and parameter design methods of the novel SOSHRC-PC controller were analyzed. Finally, a three-phase grid-connected inverter based on the novel second-order (6k ± 1) harmonic repetitive control and proportional control was constructed, and the simulation results show that the proposed control strategy has great steady state and dynamic performance.