In　order　to　promote　the　complementarity　and　low　carbonization　of　various　energy　sources　and　take　into　account　the　interests　of　both　market　operators　(MO)　and　integrated　energy　system　(IES),　a　Stackelberg　game　model　of　IES　including　carbon　capture　system　(CCS)　and　carbon　trading　is　proposed.　The　cooperative　operation　framework　of　carbon　capture,　power-to-gas　(P2G)　and　combined　heat　and　power　(CHP)　generation　unit　is　introduced　to　effectively　solve　the　carbon　source　required　by　P2G　unit　and　system　carbon　emission　problems.　Considering　the　coupling　characteristics　of　electricity,　heat　and　gas,　a　carbon　trading　mechanism　is　introduced,　and　the　dynamic　pricing　mechanism　of　MO　and　the　optimal　scheduling　of　IES　are　studied.　The　Stackelberg　game　model　built　in　this　paper　is　difficult　to　be　solved　by　traditional　methods,　so　we　introduce　a　Stackelberg　game　optimization　algorithm　based　on　Kriging　meta-model　to　reduce　repeated　calls　to　the　underlying　model　and　improve　solving　efficiency.　Through　a　lot　of　simulation　verification,　compared　with　other　traditional　models,　this　model　can　effectively　reduce　the　carbon　emissions　and　operating　costs　of　the　system,　and　improve　the　capacity　of　renewable　energy.　©　2022　IEEE.