Introduction. The topicality of the research is determined by the development and grounding of conceptual theoretical and methodological framework for enhancing the management of higher education services quality on meso- and micro-levels, which will enable to provide high quality of graduates as the country’s strategic resource. Methodology of the research. Management in the sphere of education is analyzed as a process which is divided into two sub-processes: performance management and development management. The conceptual theoretical and methodological results for enhancing the management in the sphere of higher education services presented in the current research are based on Russian and foreign scientific research. Results of the research. A model of organizational economic mechanism to manage the growth of higher education services quality for meso- and micro-levels has been developed. It has been justified that a part of controlling and supervising operations which are now performed by federal government bodies can be passed to the regional level, which will result in higher effectiveness of managing the system of higher school. The intended effect of implementing this organizational economic mechanism comprises, among other things, the relevance of graduates’ quality to the demands of the concerned parties as well as creating a complex and independent system to monitor and evaluate the higher education services quality in federal subjects of the Russian Federation. Discussion. Once the designed method of measuring consequences and results of enhancing the SEQHES management (the System of Evaluating the Quality of Higher Education Services) for mesoand micro-levels has been implemented, its functioning is characterized by processual maximization of meeting the system goals; elimination of the problems concerning the existing evaluating procedures constraints; training specialists in correspondence with quality and quantity demanded by the concerned parties, and so on. Although the research also presents the drawbacks of the authors’ method, their influence is not considered to be defining. Conclusion. Enhancing the evaluating procedures management in the sphere of higher education on the level of Russia’s federal bodies will allow creating organizational economic premises for the development of competition on the regional markets of educational services and the rise in the effectiveness of regional economics.