This　study　uses　the　improved　Cobb-Douglas　two-factor　production　function　model　to　explore　the　potential　relationship　between　economic　growth　and　energy　consumption　through　the　multiple　co-integration　test　on　the　panel　data　of　China　from　1985　to　2018.　The　results　show　that　there　is　a　positive　long-term　balance　between　energy　consumption　and　economic　growth:　economic　growth　of　1%,　total　energy　consumption　growth　of　1.53%,　which　means　that　economic　growth　needs　higher　energy　support　in　the　former　short　term.　At　the　same　time,　the　error　correction　term　will　converge　energy　consumption　to　a　long-term　equilibrium　state　with　an　adjustment　intensity　of　134.59%.　From　the　results　of　variance　decomposition,　we　can　also　see　that　as　the　number　of　periods　increases,　the　part　of　real　economic　growth　explained　by　energy　consumption　gradually　increases.