The article attempts to analyze cybercrime as a relatively new and little-researched social and legal phenomenon. The author sought to find an answer to the question why, against the backdrop of the scientific achievements of domestic criminalistics, with so many new ideas, concepts, technologies, forensic algorithms, and investigation programs, is progress in the struggle against it still hardly noticeable? As the main direction of overcoming crisis phenomena, he positions implementation in the scientific resources of domestic criminalistics of modern information technologies in general, and, to improve the effectiveness of combating crimes committed using computer and network capabilities, in particular. He considers the fight against them to be an international task, since measures to prevent, detect, uncover and investigate crimes committed using modern information technologies cannot be effective only at the national level, because of the transnational and trans-border nature of the Internet itself. Given the continuing increase in the number of its users, which naturally causes their dependence on the information community and the vulnerability of all kinds of cyber-attacks, a scientific analysis of the current state of investigation of crimes of this kind is made and recommendations are formulated to improve the effectiveness of this activity.