Climate change has become a great challenge facing all mankind. Aiming at the problem of forest ecological environment protection, two mathematical models of forest carbon sequestration and forest management decision-making are established in this paper. Firstly, the carbon sequestration index of forest is evaluated by combining relevant indicators and a comprehensive evaluation method, which combines analytic hierarchy process and objective weight method. And the first-order exponential function is introduced to model the decay law of forest trees based on the IPCC theory, and the carbon sequestration model is established. In addition, based on the consideration of forest comprehensive benefits, a decision model based on multi-objective optimization is established for forest management, and the genetic algorithm is used to solve the optimal solution. Finally, we apply the model to Saihanba forest and the relevant parameters are analyzed. The results show that reasonable anthropogenic development, such as deforestation, does not affect forest, and can promote the carbon cycle process in forest.