The problem of the evaluation of environmental governance capacity is an important issue in evaluating the improvement of ecological environment and the quality of economic development, but there are few evaluation models about environmental governance capacity. Considering the expression habits, the association and the psychological changes of experts, and the ambiguity of the decisionmaking environment, a consensus model for group decision making of 2-dimension 2-tuple linguistic information to express decision-making information in an empathy network environment is proposed in this paper. Firstly, confidence index is built by using the 2-dimension 2-tuple linguistic information. Secondly, the empathetic centrality incorporating the confidence index is used as induced value to gather expert decision information. The group consensus level is calculated by measuring the distance between individuals and groups, and a consensus adjustment method is established by using the confidence index. Next, the 2-dimension 2-tuple linguistic weighted averaging operator is used to process the group decision information that reaches consensus and obtain the evaluation results. Finally, an example of the evaluation of environmental governance capacity is used to prove the feasibility of the model, which can provide theoretical and method support for the problem of the evaluation of environmental governance capacity.