Cybercrimes, cyber terrorism and cyber war are the pandemic of the 21st century. This problem existed before, but lately they have spread with a rapid speed, and have modified from their basic appearance, which makes them difficult to follow. The purpose of this paper is to show the need for a cyber convention of a new kind, and to explain the need for better international legal framework. The paper is “dealing “first with the European Convention of Cybercrime and its use. Also having in mind that the cyber field is not only consisted from cybercrimes/ offences but also with cyber terrorism and cyber wars, the second part of the paper isdedicated to the need of a new Digital convention. The last part is giving a brief overlook of the Macedonian legislation considering the cybercrimes.