This paper studies a dual channel supply chain consisting of a manufacturer and a retailer. Considering the factors such as product green degree, channel sales sensitivity coefficient, network channel logistics and distribution level, two supply chain game models under decentralized and centralized decision-making are established. The green degree, price, channel sales, member profit and other variables in the two models are analyzed, then a two-stage coordination contract is established to promote member's cooperation. The influence of different factors on the results of model solution is analyzed. Numerical experiments are tested, which suggests that the market share of the two channels must meet certain conditions, then manufacturer and retailer are willing to participate in the dual-channel supply chain. Under the centralized decision, each variable is not affected by the channel market share. However, under the centralized decision, the influence of the channel sales sensitivity coefficient on each variable is more obvious than that of the decentralized decision. With the increase of the retailer's marketing cost, the manufacturer's profit increases, but the retailer's profit decreases with the increasing of manufacturer's logistics costs.