Green logistics is an important measure in response to national energy conservation and emission reduction policies, and in the long run, it is also a necessary measure to save costs for enterprises. This article aims to address the obstacles in the transition from traditional logistics to green logistics, and constructs a four party evolutionary game model of government, environmental NGOs, logistics enterprises, and consumers. The model consists of top-down transportation, bottom-up circulation, forward logistics, and reverse logistics to form a green logistics loop; Several Equant are solved by establishing duplicate dynamic equations, Jacobian matrix and determinant, etc., and the local stability of Equant is analyzed by using Lyapunov's first rule.By analyzing the evolutionary game model, this study explores the impact of government policies on corporate behavior, thereby providing reference for the formulation of relevant policies by government departments.