Cybersecurity policy is a response to the growing instability of the virtual world and the threats emanating from this area. This article tries to show how changes in legislative and strategic provisions can affect the EU’s cybersecurity policy. The analysis of the field of cybersecurity in the European Union, the subject of which is the union itself, allows the authors to demonstrate the existence of such a policy in the EU. The subject of the analysis is the phenomenon of cyberterrorism as a threat and its specificity as a form of violence. The article shows how policy and strategy are interrelated, paying particular attention to the security concept of the European Union. The starting point of the research is the analysis of issues related to the specific nature of EU cyberterrorism policy and the most important legal bases in this field, on which EU cybersecurity policy is built. The preliminary study defines the concepts of cyberterrorism, cybercrime, and cyberwar, showing their impacts on the national security policy of the information society and, thus, also on the cybersecurity policy of the EU.