The article studies the substantiation of the changes in the Classical University when its liberal model is transforming into the pragmatic model in modern knowledge society. The content of pragmatic model (commercialization of knowledge, education market, competitions) is against its classical model. Therefore, there is a need to clarify the criteria of the Classical University. The corporate culture is considered as its new criterion. The corporate culture aimed towards shaping of the professional and the person who is relevant to the modern knowledge society. Therefore, the modern Research University continues the traditional Idea of the Classical University in conditions of information (knowledge) society. Secondly, new strategy for the management of education in the Research University is the knowledge management. Thirdly, the corporate culture of the Research University can join complementarily the classical criteria of University and modern orientation to the market and commercialization of education. The specific content of the corporate culture as a new criterion of the University is relevant to the conditions of information or knowledge society. The corporate culture of the Research University provides not only competitiveness of professional, but also in its spiritual and moral characteristics.