Over the last fifty years the idea of establishing nuclear-weapon-free zones (NWFZ) has gained broad support and became a serious factor in the big politics. Along with the Nuclear Non-Proliferation Treaty (NPT), system of the IAEA safeguards and export control structures NWFZs are the key elements of the nuclear non-proliferation regime which is most mature among the other non-proliferation regimes of WMD and means of their delivery. The creation of NWFZs had started during the Cold War and continued after it ended. Latin America and the Caribbean, the South Pacific, South East Asia, Africa and Central Asia have been already proclaimed as the nuclear-free zones. The struggle for the creation of nuclear-free and WMD-free (WMDFZ) zones in the regions of political-military tension (the Middle East, the Korean Peninsula etc.) is being underway. The specific situation of establishing each NWFZ left an imprint on its international-legal design and therefore the study of the specific NWFZ agreements allows analyzing the emergence of this important phenomenon of the nuclear non-proliferation regime.