Continuous expansion of the scope of network information technologies application permanently create the background for the appearance of new threats to the security of individuals, society and the state, including information security. Especially dangerous are terrorist acts potential threats by using information resources in the appropriate infrastructure of society and the state individual institutions. The current state of the problem of criminal liability for trespass to digital information, their dynamics and impact on Russia's technological and industrial potential, as well as the negative consequences of committing crimes in the sphere of digital information are considered in the article. A wide use of information and communication technologies (ICT) is an integral requirement of time representing an indicator of the development of a modern economy, both private and national, i.e. state. However, an increase in the share of information crime interferes with the progressive development of ICT. When using the methodological approach in science, measures of general prevention, as well as measures of special prevention aimed at digital crime countering are singled out. The most effective of them are special preventive measures, such as the current criminal, criminal procedure and information legislation improvement; the judicial practice improvement; the creation of new and improvement of existing methods of investigation and prevention of digital security crimes; the qualified personnel training in the field of information security (including specialized research institutes and government agencies of the relevant areas); as well as the need to keep within the necessary information security limits by the users themselves, both in the workplace and in everyday communication. This article is devoted to discussing some of these special preventive measures.