A review of modern achievements in the field of improving the efficiency of managing the educational process of a higher educational institution is presented. The visual and set-theoretic models of managing the socio-economic system of an educational institution are defined. The article presents the main structural elements of the management system as well as the relationship between them, ordered to achieve the stated goals of the educational organization. Representing the internal structure of the socio-economic system of an educational institution as an object of management is proposed. A classifier of educational organization activities is presented in the classical tabular form and in the form of a set-theoretic model. The prospects for further understanding of the ways of developing the management of the university socio-economic system are determined.