Abstract: Development of science and advancement of society require the intersection innovation in postgraduate education. Since postgraduate education is one of the most important ways to increase personal knowledge stock, it is confined to the essential quasi-biotic attributes of knowledge development. Consequently the postgraduate education model proposed based on the quasi-biotic theory of knowledge development has 5 basic elements: graduate students, set of courses, mentors, research platform and environment. Hence, to improve innovative competence of graduate students to suit the social requirement, measures should be taken in four aspects, i.e. set of courses, mentors, research platform and environment, to allocate intersection points. Diversified knowledge source and research platform and a permissive and independent research and learning environment are required to promote the Medici Effect.