The Zachman Framework offers a classification of the models created in an enterprise architecture project. These models form a holistic representation of the organization. Despite the prominent position of the Framework, there is little information publicly available to help designers create exact models that fit each other. In this paper, we propose a conceptualization based on General Systems Thinking. Our conceptualization provides concrete guidelines for creating the models required by the Framework. The proposed conceptualization establishes a better understanding of the models and of their relationships. This facilitates the creation and interpretation of the models. It also improves the traceability between them. We illustrate our approach with the results of a case study.