To achieve and maintain a level of training for competitive specialists who meet modern requirements first and foremost in professional education it requires ensuring the competitiveness of the Russian education services market. In the article the research and methodological practices are proposed for improving the competitiveness of the Russian education services market under the conditions of international educational integration at the federal (legal and regulatory, organizational and pedagogical, organizational and methodological program), regional (legal and regulatory, organizational and administrative, organizational and methodological, and socially-pedagogical program) and university levels (legal and regulatory, organizational and administrative, socially-pedagogical, learning and teaching, and information-technology program). The proposed recommendations in the article are of practical value for international departments of higher education institutions in order to optimize the processes of Russian universities entering into the international educational space.