In　order　to　protect　the　information　privacy　of　different　operators　in　the　integrated　energy　system　（IES），balance　the　low-carbon　and　economy　of　the　system　operation　and　solve　the　problem　that　the　robust　model　of　natural　gas　network　is　difficult　to　solve，a　distributionally　robust　low-carbon　economic　dispatch　method　of　electricity-gas-heat　IES　considering　the　carbon-green　certificate　coupling　mechanism　is　proposed.　Considering　the　dynamic　characteristics　of　natural　gas　and　heat　networks　and　the　carbon-green　certificate　coupling　mechanism，the　dynamic　low-carbon　economic　dispatch　model　of　IES　is　constructed.　In　order　to　protect　the　data　privacy　of　each　network　operator，a　distributed　collaborative　optimization　model　of　the　electricity-gas-heat　IES　is　constructed　by　decoupling　the　IES　according　to　the　energy　coupling　relationship.　On　this　basis，considering　the　uncertainties　of　wind　power　output　and　multi-energy　load，a　distributionally　robust　optimization　framework　based　on　the　consensus-based　alternating　direction　method　of　multipliers　is　proposed.　And　the　robust　sub-problems　with　second-order　cone　constraints　and　binary　variables　are　solved　by　using　the　second-order　cone　dual　theory　and　alternative　optimization　method.　A　modified　IEEE　39-bus　electricity　network，Belgium　20-node　natural　gas　network　and　a　15-node　heat　network　are　taken　as　examples　for　simulation　analysis.　It　is　verified　that　the　proposed　method　can　realize　the　decentralized　autonomous　operation　of　each　network　in　IES　under　the　condition　of　uncertain　source　and　load，while　balancing　the　low-carbon　and　economy　of　system　operation.　©　2024　Electric　Power　Automation　Equipment　Press.　All　rights　reserved.