This paper proposes a model of argumentation, in which the internal structures of arguments are expressed with the simplified Toulmin model, and the relations between arguments are defined with the method of Dung’s abstract argumentation framework. It also gives the algorithms of the defensibility of an argument and the acceptability of a statement. This model is used to reconstruct the examples in the published literature, and results show that this model can accurately calculate the acceptability of statements and draw a conclusion from argumentation. This research is to construct models for real-world practices of argumentation, but the conclusion will contribute to the modeling of formal nonclassical logics systems.