The　contradiction　between　the　independent　operation　and　inner　connection　of　the　power　market,　carbon　market　and　TGC　market　have　become　the　primary　challenge　towards　developing　renewable　energy　and　low-carbon　technologies.　This　paper　proposes　a　day-ahead　collaborative　power-carbon-TCG　market　framework　and　its　implementation　methodology　based　on　the　cross-chain　technology　to　cope　with　the　challenge.　The　daily　collaborative　market　is　designed　to　operate　sequentially　to　reflect　the　time　attribute　of　carbon　emission　and　TGC　production.　Penalty　factors　are　introduced　in　the　power　market　to　indicate　the　inter-market　influences　from　the　carbon　and　TGC　markets.　Furthermore,　cross-chain　technologies　are　leveraged　to　form　a　unified　framework　for　the　coordination　of　the　three　markets,　and　the　chain　structures　of　each　market　are　redesigned　to　fit　into　the　unified　framework.　The　conclusion　is　drawn　from　the　case　studies　on　the　modified　IEEE-30　bus　system.　The　results　indicate　that　the　total　carbon　emission　of　the　system　is　reduced　under　the　collaborative　market　framework.　The　market　shares　and　profits　of　low-emission　and　renewable　units　increase　vastly,　benefiting　low-carbon　and　renewable　energy　companies　in　the　long　term.　©　2022　Elsevier　Ltd