Until very recently all the issues concerning nuclear armaments, including disarmament, were the exclusive realm of the nuclear-armed states. In fact the Nuclear Nonproliferation Treaty itself (NPT) divided the world into the Have and Have Nots. This divide was reached by freezing the situation on the date of January 1, 1967 (art. IX.3 of NPT). Of course the number of nuclear-armed states later became greater than the number of “nuclear weapon states” as defined in art. IX. Anyhow the great quantitative divide among the super powers and any other nuclear-armed state de facto limited the players in this field even more to just United States and Soviet Union (now Russia). Then something unexpected happened: most of the non nuclear-armed States, albeit with a few exceptions, stepped forward, declaring that the survival of mankind was by definition, a matter of universal concern. Hence, in their view, nuclear disarmament had to be discussed among the representatives of all nations, even if this meant at least initially, that the discussions would take place without the participation of all or even any of the uclear-armed states. The aim of this paper is, after presenting certain critical aspects of the current situation of nuclear armaments, to illustrate the strategies of non nuclear-armed states towards total nuclear disarmament. This will be attempted in the simplest possible way albeit not an exhaustive one.