The subject of the article is the analysis of doctrinal provisions, legal norms as well as the practice of their application on the distribution of responsibility related to the use of artificial intelligence between different subjects (designer, holder, owner, etc.) with determination of expediency and ways of bringing to responsibility of the artificial intelligence as a subject (or quasi-subject) of law. The responsibility of artificial intelligence systems is a complex problem, the complexity of which is due to their autonomy and the ability to self-learn. This factor makes it difficult to distribute the burden of responsibility among the various individuals involved in the creation and operation of artificial intelligence. At the same time, the modern (and in the near visible perspective) development of artificial intelligence systems does not allow one to recognize their qualities of personality and, therefore, to apply to them measures of responsibility as to individuals and legal entities. It is concluded that the solution to this problem lies in the area of supplying artificial intelligence systems with elements of subjectivity. It was substantiated that the concept of supplying the artificial intelligence systems with the quasi-subject of law status. Property ownership will allow implementing both civil law sanctions and administrative and criminal law sanctions. When developing legislation in this area, a balance must be struck between protecting the public interest and the need to stimulate scientific and technological progress in this area.