To study the examines the existence and equilibrium conditions for green closed-loop supply chain network solutions, the equilibrium conditions of the green closed-loop supply chain network are investigated by using the knowledge related to variational inequalities. Then the set-value mapping of the feasible strategies of each decision maker is constructed, and the green closed-loop supply chain network equilibrium problem is transformed into a generalized Nash equilibrium problem, which is investigated by using immovable point theorem in combination with the continuity, convexity, and tightness of the set-value mapping. Based on the conclusions, the variational inequalities corresponding to the decision makers at each level of the green closed-loop supply chain network, as well as the multicriteria network equilibrium conditions, and the existence theorem for the solutions of the green closed-loop supply chain network are given.