Abstract: With the continuous interaction and integration of multiple energy systems and the reform of energy trading marketization, traditional power demand response can no longer meet the business needs of multi-energy coupling. Aiming at the joint response problem of multiple energy sources, this paper proposed an integrated demand response optimization incentive model considering the user response characteristics. Taking the integrated energy service providers and multiple users as the participants of the integrated demand response, the response strategy can be solved with the optimal objectives of all parties. Firstly, the implementation framework of integrated demand response and the model of electricity-heat-gas energy hub were introduced. Secondly, the collaborative optimization strategy of integrated demand response of integrated energy service providers and users was established, and the existence and uniqueness of the optimal solution were proved. Finally, the analysis of calculation examples verified that the proposed strategy can reduce the response cost of integrated energy service providers and user dissatisfaction in multiple scenarios.