Using information technology in crime investigations are attracting more and more scientific attention. Such technologies are often used by law enforcement authorities in combating cybercrime. The word cybercrime means using virtual space, i.e. cyberspace (it’s the author's opinion that it is an information space that is formed by using information and telecommunication systems during the interaction between people, the interaction of information and telecommunication systems and people management of these systems), for criminal activities. The methods for fighting such crimes in the process of special investigation activity should include not only standard techniques, but also the appropriate use of cyberspace.This trend is not only nationwide for Ukraine, after all, the world's methods of special investigative activity through cyberspace is constantly being improved. And this is not a coincidence. In this article the question of the special investigative actions through cyberspace in different states (Germany, Russian Federation, United Kingdom, United States of America, Ukraine) is probed. A difference between “special investigative actions” and “investigative actions” is exposed. Some ways in which the fight against cybercrime is carried out in different countries, are considered. A change in the legislation of Ukraine in relation to the use of cyberspace by law enforcement authorities is suggested.