Artificial intelligence technologies, which have recently been rapidly developing, along with indisputable advantages, also create many dangers, the implementation of which causes harm. Compensation for such damage raises questions regarding the subjects, the act in itself which caused the damage, the causality, etc. The situation is also complicated by the imperfection of statutory regulation of relations on the use of artificial intelligence technologies and the insufficiency or ambiguity of judicial practice on compensation for damage caused using digital technologies. Therefore, the purpose of this publication is to outline approaches to applying legal liability for damage caused using artificial intelligence technologies. Based on a systematic analysis using dialectical, synergetic, comparative, logical-dogmatic, and other methods, the study analysed the state of legal regulation of liability for damage caused using artificial intelligence technologies and discusses approaches to the application of legal liability for damage caused using these technologies. In particular, it was concluded that despite several resolutions adopted by the European Parliament, relations with the use of artificial intelligence technologies and the application of legal liability for damage caused by artificial intelligence have not received a final statutory regulation. The regulatory framework is merely under development and rules of conduct in the field of digital technologies are still being created. States, including Ukraine, are faced with the task of bringing legislation in the field of the use of artificial intelligence technologies in line with international regulations to protect human and civil rights and freedoms and ensure proper guarantees for the use of such technologies. One of the priority areas of harmonisation of legislation is to address the issue of legal liability regimes for damage caused using artificial intelligence technologies. Such regimes today are strict liability and liability based on the principle of guilt. However, the ability of a particular regime to perform the functions of deterring and compensating for damage caused using artificial intelligence technologies encourages scientific discussion