Abstract: The integrated utilization of various heterogeneous energy sources brings complementary coupling benefits, but usually ignores the influence of demand-side multi-energy coupling conversion on the user satisfaction. Moreover, the current mainstream unilateral pricing mechanism of demand response can hardly cope with the complex interest interaction and iterative relationships between the system and users. Therefore, this paper proposes an integrated demand response modeling and master-slave game operation strategy considering the consumer coupling behavior. Firstly, an improved integrated demand response model for the integrated energy system load aggregators is established based on the influence of consumer coupling behavior on the user satisfaction. Secondly, with the system operator as the leader and multiple load aggregators as the followers, an optimal scheduling strategy for the integrated energy system based on the master-slave game is proposed, and the existence and uniqueness of the Nash equilibrium solution of the established interactive model with one leader and multi-followers is proved. Finally, an example system is constructed by combining the standard IEEE33-node system and the Belgian 20-node gas network system. The results verify the accuracy of the proposed consumer coupling behavior demand response model and the effectiveness of the proposed strategy in coordinating interests of both players in the game.