The optimal operation of micro-grid can provide a strong guarantee for the efficient utilization of distributed power and renewable energy. In order to solve the problem of optimal operation of micro-grid with a large proportion of distributed power supply, this paper proposes an optimal operation scheme of novel micro-grid. Bald eagle search (BES) optimization algorithm with concave function and Gaussian mutation operator is applied to the optimal operation of micro-grid with a large proportion of energy storage devices. On the basis of ordered charge-discharge arrangement for energy storage device, the optimal operation model of micro-grid is established considering the lowest cost of power generation, environmental benefits and the least power loss, and membership function in fuzzy mathematics is used to simplify the multiple objective functions. The improved BES optimization algorithm is used to solve the function model of two kinds of optimization schemes. Simulation results verify the accuracy and superiority of the proposed optimization scheme and the improved BES algorithm.