Abstract: The control strategy of optical storage integrated MMC grid-connected converter based on virtual synchronous generator(VSG) is considered to be a feasible scheme to improve the penetration rate of new renewable energy power system. Aiming at the problems of slow dynamic response, poor transient control characteristics and complex parameter setting of MMC grid-connected converter with virtual synchronous control for optical storage integration, a MMC virtual synchronous control method based on genetic least squares predictive control is proposed in this paper. This method can improve the dynamic response characteristics of the converter. It still has high system stability and robustness.