Abstarct-Green supply chain is a hot topic in current logistics management, but so far there is no precise definition. Scholars basically only consider the upstream and downstream enterprises in the green supply chain analysis, sometimes introducing government as an external factor. We suggest the enterprise, the government and the consumer are all endogenous variables in the green supply system. Using game theory, we analyze their behavior of joining the green supply system respectively, and find solutions under different conditions. A new management system is put forward, which has some realistic meanings. Keywords-supply chain management; static game; evolutionary game; the green supply system; Nash equilibrium