Abstract: Demand response（DR） is an important way for the demand side to participate in the flexible interaction of power grid. Its derivative is integrated demand response（IDR） in the energy Internet, which makes use of the coupling and complementary relationship between different forms of energy, such as cold, heat, electricity and gas, to carry out multi-energy collaborative optimization on the demand side. Based on the framework of integrated energy system（IES） and the basic theory of IDR, this paper proposes the dynamic optimal control method of integrated energy system considering multi energy demand response. According to the electricity demand and price elasticity theory, considering the influence of energy price on energy consumption such as electricity, heat and natural gas comprehensively, the multi-objective dynamic operation optimization model of IES mechanism is established, and the improved non-inferior genetic algorithm（HP-NSGA-Ⅱ） is used to solve the problem. The integrated energy project in typical areas is used to verify the effectiveness of multi-energy demand response in promoting the optimal operation of integrated energy system.