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The article considers the problems of development of a higher education institution as an economic corporation. Strategic directions of professionalization of higher education institution management are determined. The key parameters of the development of higher education institutions in Ukraine are analyzed. Features of behavior of teachers and students in the conditions of development of corporate relations are considered. Particular attention is paid to the semantic dynamics of the process of formation of professional management of higher education. Attention is paid to the main conceptual approaches to the formation and historical development of higher education institutions. The importance of innovative dynamics of the management system and the conditions for reducing transaction costs that hinder the development of the digital economy are shown. Approaches and methods of university management activities that create a "new normality" of professional university management are considered. The necessity of transformation of professional management of a higher education institution and its responsibility for the development of innovative economy is proved. Emphasis is placed on the professional qualities of management staff, which must meet the conditions of development of third generation universities. The basic principles of modern development of university education from the standpoint of capitalization of professional knowledge are considered. The necessity of innovative development of university science and formation of new forms of educational activity is proved. The need for fundamental training of students as a basis for their focus on the systematic development of the profession, innovation and creativity, intellectual and professional capacity for rapid vocational training throughout the career, which becomes an objective challenge of the digital economy.