The article combines socio-psychological approach to conflict etiology (so-called circle of conflict of Christopher Moore) with political analysis of the European Union’s conflicts. Its purpose is analysis of main approaches of the EU as a transnational governance system towards conflict resolution and then evaluation of conflict-management strategies in the European Union. The article categorizes conflicts in the EU and highlights the need to search for effective means of their resolution within the EU multi-level political system with special emphasis put on deliberative democracy as proper environment for managing conflicts within the EU and outside its system, however, with the EU direct or indirect participation.