The article notes the relevance and importance of the transition to a digital economy and digital society, highlights the impact of this process on the development of university libraries. Keeping the main functional purpose unchanged, university libraries are restructuring their work and transferring the main directions of library activities to a remote format. Innovative forms of service are being developed, which make it possible to purposefully increase the volume of specialized services. The article presents the experience of the Scientific Library of the Academy of Economic Studies of the Republic of Moldova, considers the process of information service for library users in a new format, in any form and on any medium based on classical and network forms of service. Presented are modern information technologies that are used by the library in servicing users. The automation of the processes of maintenance and replenishment of funds is described. Examples of the use of these processes in the libraries of the university, implementation experience, some problems and their solutions are considered. Emphasis is placed on the emergence of new social and technological challenges, the specifics of working with modern university library users, changing access to electronic resources, new requirements for the publication activity of teachers and researchers in specialized sources and for the professionally competent status, creativity of university library managers and specialists. The author concludes that innovative technologies raise modern university libraries to a qualitatively new level of service, changing their status and importance in the life of the university and society. Libraries are turning into modern information centers that seek to meet all the needs of users in obtaining information. The materials presented in the article allow the staff and users of the library to build interaction between the librarian and the user in a new way, to expand the possibilities of the library.