One of the most popular classes of educational systems is LMS - Learning Management System, which gives a possibility to implement support for the learning process through E-learning technology. However, such systems do not have sufficient functionality to automate other aspects of the activities of an educational institution. This situation has led to the fact that modern educational institutions are forced to use a whole set of different information systems, each of which solves a certain, strictly specialized range of tasks and complicates the effective use of automation. Thus, the aim of this research is to develop an approach to building a management system for a higher education institution based on a single hardware and software platform, which allows combining all areas of administrative and educational activities within a single system, as well as organizing the management of the educational process and monitoring of the quality of educational services. To achieve this goal, the paper addresses the task of creating a computer system for managing a higher education institution on the basis of a single, widely known platform LMS MOODLE. To accomplish this task, a unified model of interaction between the agents of the educational process has been proposed. This model makes it possible to complement the learning functions of the most popular platform with the solution of organizational tasks in managing a higher education institution and performance of workflow functions. The developed model of interaction between the agents of the educational process was used for processing the system of roles for the users of the system, which made it possible to expand the functionality of work with the database system, as well as to develop a computer based management system for an educational institution on the basis of a single platform. The proposed new technical solutions were introduced during the creation of information systems in such higher education institutions of Ukraine as Donbass State Technical University and Volodymyr Dahl East Ukrainian National University. In addition, the proposed solutions have been successfully applied to create information management systems for several general secondary schools in Lysychansk, Ukraine.