The agenda of Copenhagen in the international climate negotiation underlines the conflict between developed and developing countries. Learning from the tree-correlated equilibrium concept introduced by Forgo (2005), the paper chooses the developed countries group and the developing countries group as two bodies of international climate negotiation. The international climate negotiation will be divided into three periods: the Kyoto protocol period (2000-2012), the Copenhagen protocol period (2013-2020) and the forever period (2021-2200). So the sequential games model of the developing countries group and developed countries group about Copenhagen climate negotiation is built. According to the IPCC Fourth Assessment Report, the linear regression model between carbon dioxide concentration and global temperature and the prediction model of ARMA(4,2) are built, then the contribution values of carbon dioxide concentration for various emission branches in 2200 are obtained. The global temperatures under various emission branches are computed with the corresponding emission reduction rates. The solution of tree-correlated equilibrium is obtained by GHGAME linear programming. The results show that the international climate negotiating plan in terms of discretion according to the prior period progress is better than the package solution at the preliminary stage. Whether developed countries meet their responsibilities to cut emissions or not decides what happens to the control effect of global climate change.