Artificial intelligence (AI) technologies are gradually becoming a part of our everyday life. From the category of elements of science fiction, they have moved into the category of elements of public administration, law enforcement, technology, and culture. The study is devoted to the problems of using AI in the system of justice. The author identifies current opportunities for implementing AI in court proceedings, explores the world experience and the content of discussions about the limits of such implementation. As a result of generalization of the existing ideas about the use of AI in justice, three concepts are identified — conservative, extensive and intensive, each of which represents the future of the judicial system in its own way regarding the development of information technologies. The conservative concept is focused on deepening digitalization of the judicial system and development of electronic justice. The extensive concept implies limited use of AI in the justice system without its direct participation in decision-making, but only with the aim of facilitating the work of judges. The intensive concept involves in-depth implementation of AI in the justice system, when AI either works on a par with a judge, or, more or less, replaces the judge.