Through constructing a Stackelberg game model between the supplier and the manufacture, the game equilibrium solution and the revenue sharing contract parameters are obtained. Then a comparison of low-carbon economic effects among decentralized decision-making, centralized decision-making and revenue sharing contract is conducted. Through a numerical example, it is analyzed whether the supply chain can choose cooperation on carbon emission and what impacts will it have on product yield, carbon emission yield and profits of the low-carbon supply chain members, and how the revenue sharing contract parameters influence the profits of low-carbon supply chain. The theoretical basis and policy suggestions are provided for long term cooperation of emission reduction in the supply chain.