Based on their own negative experiences in the understanding of terrorism as an exclusively internal security problem and its solution are primarily repressive police and military and intelligence methods, Serbia is on the threshold of XXI century fundamentally changed its anti-terrorist strategy. Unlike so understood Albanian terrorism in Kosovo and Metohija and the strategies applied in his unsuccessful suppression, new antiterrorist strategy was implemented successfully in combating against same species of ethnically motivated terrorism in the municipalities of Preševo, Bujanovac and Medveđa. Despite not even exclude the repressive police and military action as a last resort, a new strategy is essentially meant the transfer of emphasis on preventive (safety, organizational, diplomatic-political socio-economic and informational) measures that, among other things implied: solve all problems, principally, by peaceful means and negotiations, including the troubleshooting of representatives of all relevant government bodies, local government, NGOs, ethnic communities including representatives of terrorist groups, as well as the condemnation of violence, participation in negotiations and support for solving problems of by key members of international community (EU, OSCE, USA, NATO), with favorable demographic effects. Although based primarily on experience, that (still informal, but in practice verified) RS strategy is in line with the UN Global Strategy against terrorism (which was subsequently made, 2006) and as such can serve as an example of good practice in confronting similar kinds of terrorism in the world.