The article is devoted to the problem of forming new international mechanisms and formats for preventing, managing and resolving conflicts in the modern world. The need to change the approaches of the international community to the issues of control over international violence is caused both by changes that take place in the system of international relations (connected the globalization, the growing interdependence of international relations actors), and changes in the very nature of conflicts in the modern world, their transnationalization, change in the nature of participants, formats and methods of conflict behavior). There has been specified an increase in the inefficiency of traditional mediation diplomacy and the failure of the international community to quickly and effectively take control of organized violence, relying solely on the traditional formats of diplomatic conflict resolution. Key words : transnationalization of international conflicts; hybrid war (new wars); diplomatic mediation; conflict in Bosnia and Herzegovina; conflict in Kosovo; UN; NATO.