For　the　purpose　of　optimizing　the　scheduling　strategy　of　the　integrated　energy　system　by　exploit　the　potential　of　demand-side　resources,　and　to　realize　carbon　reduction　and　emission　reduction　while　achieving　economically　efficient　operation　of　integrated　energy　systems,　this　study　constructs　a　model　of　the　integrated　energy　system　operation　with　an　improved　stepped　incentive-based　demand　response　mechanism　and　the　model　assigns　commodity　properties　to　carbon　emissions.　Firstly,　this　study　establishes　the　corresponding　mathematical　models　of　gas　turbine,　gas　boiler　and　two-stage　power-to-gas　conversion.　Secondly,　the　stepped　carbon　trading(SCT)　mechanism　is　introduced　to　constrain　the　CO2　generated　by　the　system.　Finally,　the　incentive-based　demand　response　mechanism　is　introduced,　and　the　particle　swarm　algorithm　is　used　to　improve　the　parameters　of　the　demand　response　mechanism　with　the　goal　of　minimizing　the　sum　of　all　types　of　costs　incurred　in　the　operation　of　the　system.　The　CPLEX　solver　is　used　to　solve　the　linearly　processed　model,　and　it　is　verified　that　the　proposed　scheduling　strategy　is　able　to　significantly　reduce　the　CO2　generated　by　the　system　and　operation　cost　of　the　system　by　setting　up　a　variety　of　different　cases　for　comparison.　©　2023　IEEE.