Author made an attempt to understand the place and role of the constitutional and legal fundamentals (Constitution and other constitutional laws), which proclaim the right for the education and regulate the implementation of the right for higher education (on the example of the Russian legislation) in the global process of the internationalization of the institution of education in general and higher education in particular. The policy objective of modernization of education in the medium term is to ensure Russia's competitiveness on a global level. This goal is achievable, if it is be possible in the coming years to ensure the optimal ratio of cost and quality in the fields of education and science, as well as effective mechanisms for the constitutional and administrative and law management of the institutions of higher education in Russia. Relations arising in the field of public administration in the field of higher education, as well as the main subject of this relationship - school, are constantly at the center of scientific interest, which is understandable on the basis of the important role, assigned to them in society in terms of administrative and legal reform in Russian Federation. In majority of the national public education system at the constitutional level vocational school focused not on simple reproduction (an increase in) of the labor force but is directly related to the world of work, sector of the economy, scientific and technological progress.