With　the　remarkable　growth　of　natural　gas　consumption　and　the　development　of　renewable　energy　worldwide　in　recent　years,　the　penetration　capacity　of　gas-fired　generators　and　uncertain　renewable　energy　has　significantly　become　larger,　which　poses　a　great　challenge　to　the　reliable　and　economic　operation　of　the　gas–electricity　interconnected　system.　This　paper　proposes　an　interval　optimization　based　coordination　scheduling　model　for　the　gas–electricity　coupled　system　considering　the　dynamic　characteristics　of　natural　gas　flow,　wind　power　integration　and　demand　response　management.　By　introducing　the　arithmetic　and　order　relation　of　interval　numbers,　the　objective　function　and　corresponding　constraints　for　the　interval-based　dispatch　model　can　be　converted　into　the　deterministic　expressions　with　degrees　of　pessimism,　then　the　proposed　model　can　be　solved　in　the　master-subproblem　framework.　On　this　basis,　two　case　studies　are　implemented　on　the　6-bus　power　system　integrated　with　6-node　natural　gas　system　and　the　modified　IEEE　118-bus　system　with　10-node　natural　gas　system　to　investigate　the　impact　of　gas　flow　dynamic　process,　demand　response　management,　wind　power　uncertainty　on　the　scheduling　solution　of　the　coupled　systems.　Moreover,　the　scenario-based　stochastic　optimization　and　robust　optimization　methods　are　carried　out　for　comparison.　Simulation　results　demonstrate　the　effectiveness　of　the　proposed　interval　optimization　method.　©　2020　The　Authors