To build a green and low-carbon energy ope ration mode，it is of great significance to study the coordination between carbon quota and demand response，as well as the low-carbon and clean characteristics of hydrogen energy.Therefore，a low-carbon coordinated optimization strategy for the master-slave game of electricity-heat-gas-hydrogen integrated energy system （IES） based on comprehensive demand response guided by carbon quota is proposed.First，given the low-carbon and clean characteristics of hydrogen energy，a hydrogen energy utilization system composed of an electrolytic cell，a methane reactor，and a hydrogen fuel cell is introduced，and an electricity-heat-gas-hydrogen IES coupling model is constructed.Secondly，to fully release the low-carbon regulation potential on the demand side，a dual incentive strategy for comprehensive demand response guided by a carbon quota is introduced.A ladder-type carbon trading mechanism is embedded into the game model to construct a low-carbon interaction model between IES operators and users.Finally，a bi-level solution algorithm based on the chaotic particle swarm optimization algorithm and the Gurobi solver is adopted to solve the proposed game model.In the case simulation，different scenarios are set for comparative analysis to respectively verify the effectiveness of the proposed dual incentive strategy for comprehensive demand response guided by carbon quota and the hydrogen energy coupling model and to fully exert the emission reduction potential and response capability on the demand side.