In　the　context　of　the　low-carbon　transformation　of　energy-intensive　enterprises,　the　stability　risks　of　continuous　green　innovation　and　their　transmission　mechanisms　within　the　supply　chain　warrant　attention.　Specifically,　will　these　stability　risks　be　transmitted　along　the　supply　chain?　If　so,　how　are　they　transmitted?　Therefore,　this　study　focuses　on　Chinese　energy-intensive　enterprises　and　their　upstream　and　downstream　companies　from　2008　to　2021.　It　explores　the　transmission　effects　of　stability　risks　of　continuous　green　innovation　within　the　supply　chain　and　the　role　of　environmental　uncertainty.　By　quantifying　stability　risk　indicators　of　continuous　green　innovation　and　analyzing　supply　chain　mechanisms,　the　study　reveals　the　asymmetry　of　risk　transmission　and　the　directional　and　moderating　effects　of　environmental　uncertainty.　The　results　indicate　that　stability　risks　of　continuous　green　innovation　primarily　transmit　upstream　in　the　supply　chain.　Mechanism　variables　include　financing　constraints,　degree　of　green　transformation,　and　coordination　of　supply　relationships.　Additionally,　the　study　finds　that　differences　in　supply　structure　contribute　to　heterogeneity　in　the　transmission　effect.　These　findings　provide　theoretical　support　for　risk　management　strategies　of　energy-intensive　enterprises　in　green　innovation.　It　also　provides　practical　guidance　on　strengthening　coordination　in　green　innovation　and　optimizing　supply　chain　structure　to　reduce　stability　risk　exposure.　©　2024　Elsevier　Ltd