This　paper　studies　differential　game　models　for　the　joint　carbon　emission　reduction　and　promotion　in　a　three-　echelon　supply　chain　consisting　of　a　supplier,　a　manufacturer　and　a　retailer　under　the　low　carbon　environment.　Based　on　twice　cost　accumulation,　considering　product　demand　affected　by　the　amount　of　carbon　emission　reduction,retailer　promotion　efforts　and　product　retail　prices,　the　dynamic　equilibrium　strategy　and　optimal　emission　reduction　track　are　abtained　under　conditions　of　decentralized　manners　and　centralized　manners.　Numerical　examples　and　sensitivity　analysis　show　that,　the　amount　of　carbon　emission　reduction,　the　wholesale　price　of　the　product　and　the　effort　level　of　supply　chain　members　will　gradually　increase　to　a　stable　value　with　time,　whether　it　is　under　the　decentralized　manners　or　the　centralized　manners,　but　the　stable　value　under　centralized　manners　is　larger　than　that　under　the　decentralized　manners.　If　the　impact　coefficients　of　the　supplier＇s　and　manufacturer＇s　emission　reduction　efforts　to　the　rate　of　emission　reduction　and　the　impact　coefficient　of　the　retailer＇s　promotion　efforts　to　product　demand　are　increased,　the　amount　of　carbon　emission　reduction,　the　wholesale　price　of　the　product,　efforts　level　of　supply　chain　members,　profits　of　supply　chain　members　and　the　whole　system　will　increase　accordingly.　The　total　profits　under　centralized　decision　are　larger　than　that　under　decentralized　manners.　Finally,　the　multi-objective　cooperative　decision　method　is　used　to　distribute　the　total　profits　in　this　multi-player　alliance　game　model,　which　improves　the　overall　performance　of　the　whole　supply　chain　system.　©　2019,　Editorial　Office　of　Control　and　Decision.　All　right　reserved.