The main goal of this work is to determine whether the existing rules of tort law (fault-based and strict liability, liability for a defective product, vicarious liability etc.) can be appliedto liability for damage caused by computers and through computer networks, primarily artificialintelligence systems, so that the injured party can obtain compensation for the damage he/shesuffered, whether these rules should be improved and whether a special form of legalpersonhood is needed for the most sophisticated forms of autonomous robots. It was consideredwhether, in the light of Art. 4 to 10 of the Digital Services Act, it was necessary to more clearlyregulate and define more precisely the duties of digital service providers with regard to theprevention of cyberattacks and the spread of malicious programs. The responsibility ofnegligent computer users for the spread of malicious programs is also discussed. The paperconsidered whether, in the light of the development of new digital technologies, the terms fromDirective 85/374/EEC such as product, product defect, test of legitimate safety expectations,development risk, should be further clarified and amended, and if the burden of proof ofcausation between product malfunction and damage should be reconsidered. The new rules onliability for damage caused by automated and autonomous vehicles in comparative systems(Germany, UK, France) were also analyzed, and it was considered in which direction the ruleson liability for damage caused by motor vehicles prescribed by our Obligatory Relations Actshould be improved.