For the multi-objective optimization scheduling of the Micro-grid, and traditional intelligent algorithms are easy to fall into local optimization, and a Micro-grid scheduling strategy in time-of-use price mechanism with charging and discharging of battery and a new bird swarm optimization algorithm based on Levy flight strategy(LSBSA)are proposed, the bird swarm optimization algorithm is based on bird foraging, vigilance and flight behavior. Meanwhile, 6 typical test functions are used to compare LSBSA, bird swarm algorithm, particle swarm optimization and improved particle swarm optimization algorithm to verify the superiority of LSBSA algorithm. Finally, the typical day in summer Micro-grid system is taken as an example, and the LSBSA algorithm is used to simulate the economic, environmental and multi-objective models. The results show the feasibility of the improved algorithm and the effectiveness of multi-objective optimization.