The paper elucidates the problems related to various aspects of counter-terrorism activities in Russia. This activity involves the use of a set of political, socio-economic, information and propaganda, legal, special and other measures, the possibility of introducing a legal regime for a counter-terrorism operation, as well as ensuring the restoration of the rights of persons affected by the actions of terrorists. The author examines the content of the legal standing of the Constitutional Court of the Russian Federation concerning the forms and methods of antiterrorist activities, including the criteria for evaluating the legal restrictions applied in this case, their admissibility and proportionality. Special attention is paid to constitutionally significant aspects of the consideration of criminal cases on terrorism, problems of anti-terrorist protection of transport and other infrastructure facilities, issues of social protection of military personnel, law enforcement officers and other persons engaged in countering terrorism. The author explains the significance of the legal standings defined by the Constitutional Court of the Russian Federation, the nature of their impact on law-making and law enforcement activities in the area under consideration.