For the optimal dispatching problems of connected-microgrid, an operating dispatching method combining fixed dispatching strategy of energy storage unit and dynamic optimal dispatching of controlled microsource based on time-of-use (TOU) power price mechanism is proposed. Considering system constraints such as the power balance, loss of power supply probability as well as output characteristic of controlled microsource, this paper, reckoning the charging/ discharging depreciation cost of storage batteries and the power exchanging cost/benefit between microgrid and power gird into operating economic cost, and pollutant emissions generated by the microgrid and power grid into environment harness cost, establishes a multiobjective dynamic optimal dispatching model. The improved multiobjective optimization genetic algorithm NSGA-II based on a tent maps chaos population initialization method and NDX crossover operator to product offspring is applied to optimize the output power of controlled microsource. Finally, taking a wind/PV/ diesel/fuel-cell/battery hybrid grid-connected microgrid system for a simulation example, the rationality of the proposed model and effectiveness of the method are verified. This work is supported by National Natural Science Foundation of China (No. 61364027) and Natural Science Foundation of Guangxi Province (No. 2014GXNSFAA118384).