The quality of university education is an important factor in the cultural, scientific and technological progress of the nation. So many scientists around the world are now engaged in the reflection of nature, focus and mission of universities. The authors of the article, analyzing the tendency in the development of universities in advanced countries, and based on their own experience, conclude that the purpose of universities, unlike other educational institutions does not consist in preparing performers of established professional functions, but in the formation of a certain stratum of professionals, manifesting themselves in a variety of cultural and technological fields as initiators and guides to innovation, a kind of generators of progress. This is possible if the basis for the construction of the content and technology of university education will be based on a project approach. This methodology directs toward such a construction of the educational process in which teachers and students are included in the basic and applied research, which is completed after the creation of projects that provide outdistancing development of economy and social sphere. In this process intending specialists are originally formed as bearers of experience of forecasting and innovation policy, perception and penetration of knowledge-based technologies in various spheres of social practices.