This compilation presents papers on the techniques of building global international university rankings, participation in them of Russian higher education institutions including the winners of 5/100/2020 Federal Project, the positions of national higher education in the international market of educational services. The authors analyze the methodology of ranking higher education institutions, the experience of developing rankings of leading universities in the Post-Soviet area and the BRICS countries. The authors are workers of Russian and foreign universities and research institutions as well as other organizations dealing with the development and analysis of rankings. The book is addressed to instructors, scientific workers, and to everybody interested in international education; global, regional, and national university rankings; the possibilities of enhancing the competitiveness of national higher education institutions. This edition is prepared in the framework of implementation of the Government resolution «On measures of state support of leading universities of the Russian Federation in order to enhance their competitiveness among the leading world scientific and educational centers» (as of 16 March 2013 № 211).