The power supply characteristics of the load have an impact on scheduling distributed energy and operation cost of the microgrid. A control strategy of microgrid energy scheduling based on the elastic load sub-period dispatch is proposed. Firstly, according to the generation cost profile of microgas turbine and the time of use price of power grid, a large capacity storage energy is integrated to combine power supply, which reduces the dependence on the power grid. Next, according to generation cost of DGs, their mathematical models are established, the optimization objective is converted to the quadratic programming problem, and the output power of DGs is optimized by the interior point method. Then concerning the different loads characteristics, this paper schedules two kinds of elastic load in three scheduling intervals, and also analyzes the effect on demand respond under different proportion of two types of users. Finally, the example simulation shows that the proposed control strategy is effective in ensuring the economic operation of the microgrid and enhancing the reliability of the system. This work is supported by National Natural Science Foundation of China (No. 61673174 and No. 61773162).