The paper is devoted to one of the most pressing topics of domestic legal science. Within the framework of this work, the author analyzes modern methods of countering terrorism and extremism. It is emphasized that in modern conditions it is necessary to clearly coordinate the efforts of all structures countering extremism and terrorism, actively suppress recruitment activities by international terrorist organizations and eliminate their financial support. The paper touches upon the issues of information counteraction to terrorism and extremism. There is also a proposal to introduce criminal liability for illegal circulation of digital currency and violation of the rules for making transactions with it. The leading role of the media in the prevention of terrorism and extremism is noted. Speeches by leaders of various levels, scientists, writers, publicists, sociologists, political scientists, experts, their comments and assessments contribute to the education of citizens’ sense of justice, a spirit of respect for the law.