Recently mass media play crucial role in social counterterrorism activity. The article is devoted to analysis of possibilities of mass media in prevention of the development of terrorism. Socio-psychological factors of development of terrorism, including concept of “contributing events” as well as hypothesis “frustration-aggression” are studied. The psychological component of terrorism in three major attitudes is considered in the article: psychology of terrorism, psychology of counteraction to terrorism, and using mass media for prevention the development of terrorism. Specific features and the external factors promoting involving into terrorism are analysed. Role of mass media in covering the information about terrorism events is analysed from point of view related to prevention of development of terrorism. Some key recommendations on counterterrorism activity using mass media means are formulated.