Several studies claim for the benefits that collaborative learning has to the students' comprehensive development as well as many benefit of introducing new technologies into the educational field. By other hand, interaction analysis in collaborative learning processes has become an important research field. Starting from these two realities, this work presents the modeling of a Video Game Supported Collaborative Learning System (VGSCL). By using these models, we will be able to analyze the quality of collaboration occurred during this process and to make the players' learning processes better.