The article is devoted to the development of an approach to integrated adaptive management of intellectual capital of a modern university (including individual subsystems and their elements) in the system of its innovative development in the changing technological environment and the fourth industrial revolution. The sequence and content of formalized management procedures are determined, including the determination of perspective strategic directions of scientific and educational activity of the university in the conditions of technological transformations caused by the fourth industrial revolution; assessments of the proposed methodological approach to the level of the current state of subsystems and elements of intellectual capital from the standpoint of sufficiency to ensure the innovative development of the university in selected areas; decision-making on the management of intellectual capital of the university, including its subsystems and their elements, based on the results of the assessment of their sufficiency. The conceptual scheme of adaptive management of university intellectual capital in the conditions of technological transformations in the system of its innovative development is developed. The scientific results obtained in the article deepen the principles of innovative management of scientific and educational institutions in terms of forming an approach to adaptive integrated management of university intellectual capital, as one of the main prerequisites for their innovative development in the transformation of technological systems and the fourth industrial revolution. The practical implementation of these developments will significantly increase the efficiency of management of the formation, actualization, strengthening, and use of intellectual capital of universities, to form on this basis the prerequisites for their innovative development, strengthen positions in world rankings. It will also contribute to the development of the market infrastructure of scientific and educational services and the innovation infrastructure of the state as a whole, which is especially relevant for Ukraine.