In order to reduce the over-dependence of the traditional micro-grid centralized control on the central controller, and improve the reliability and economy of system, a system generation cost model considering the residual energy state of storage battery is established. A distributed consensus economic control strategy based on virtual synchronous generator is proposed in this paper. Virtual synchronous generator is used as the bottom inverter control method. The distributed node information interaction model is developed based on sparse communication link in the upper layer. Then, the state information required by secondary control is obtained by distributed consensus algorithm. The secondary control generates instructions to optimize the virtual synchronous generator control parameters. Furthermore, the cost of the system is reduced by implementing the incremental BP(HYPERLINK"javascript"BP) cost consistent of each unit. The residual capacity of each energy storage battery also can be balanced. The deviations of average frequency and average voltage of micro-grid are reduced. Finally, the effectiveness of theoretical analysis and the proposed control strategy is verified according to the micro-gird model built on the basis of Matlab/Simulink platform.