This article is a review and analytical one, compiled on the basis of scientific articles by domestic authors on the problem of strategic management of higher educational institutions. Based on the generalization of scientific literature, the main problematic issues that were considered by researchers, concepts, stages and technologies of strategic transformation of higher education, in order to its competitiveness and improve the quality of education, were identified. The described methods and approaches should contribute to the development of the most appropriate management strategies in the university context.