The article provides the main global trends for the development of higher education. They determine the current status and shape the route and prospects of development of a higher education system in the XXI century: globalization, internationalization, the transition to mass higher education, the commercialization, the transition to a "flexible" specialties and competence-based approach, the emergence of new forms of education and the change of education technologies and several others. Identified trends characterize the involvement of Russia in global transition to a post-industrial education. It was found that the Russian system of higher education is more in line with the measure of the international level. However a lag in some indicators was registered.