Abstract: In order to improve the stability and dynamic performance of micro-grid, a stochastic distributed secondary control method for AC micro-grid based on event triggered communication is proposed. The large signal stability analysis method based on stochastic theory and Lyapunov functional method was used to obtained the conditions to ensure the stability and reliability of the whole system, and greatly reduced the computational overhead of local controllers and communication resources. A random distributed secondary control scheme was proposed, which realized the mean square synchronization of frequency and voltage recovery and the optimal active power sharing of economic operation through the sparse communication network, and effectively compensated the control deviation of frequency and voltage generated in the main control stage. Simulation results on an island microgrid test system verify the effectiveness of the proposed control protocol.