The last time events placed the fight against terrorism in top of the international agenda. Unlike the previous time, our day’s terrorism takes a kind of extreme violence which has political targets. In conditions of frequent terrorism threat, when it gets a transnational level and terrorists obtain access to various kinds of arms, the problem of counterterrorism strategy becomes very actually. With a view to an efficient activity of terrorism warn and counteract is necessary to establish a constructive cooperation between the national and international skills institutions.