In contemporary world, it is almost impossible to differentiate between physical and digital. Digital culture of today is integrated in physical reality and in all material objects of man’s everyday activity and life – production, trade and financial business, education, science, culture, entertainment and all other social activities. All these invisible goods and connections constitute an area, so called Cyberspace, which has become increasingly important from the legal and public policy perspectives. In these contexts, issues of cybersecurity and cybercrime cannot be avoided. Cybersecurity is an issue which transcends legal regulation. Its achievement depends on the proper implementation and use of a series of technical, procedural, organizational and legal measures. On the other side, fighting cybercrime is becoming an increasingly important task of legal science and legislation, in terms of prevention, detection and repression. However, there is also a need to reconcile the effectiveness of cybercrime prosecution with the need to ensure fulfillment of fundamental human rights. In this context, there is a danger that excessive criminalization might, apart from preventing the undesirable phenomena, suppress and undermine human rights and the rule of law. Therefore, in addition to proper strategy on cybersecurity, it is extremely important to develop real sense of potential threats in the field of cybercrime, and legal measures aimed at suppressing them.