Since the end of World War II the international community has been building, step by step and with many difficulties, the nuclear weapon non-proliferation regime. The purpose of this regime is the prevention of the proliferation of this type of weaponry and to achieve, as one of their final goal, the complete elimination of all nuclear weapons and the closure of all nuclear weapon production facilities or the conversion of these facilities for their exclusively use with peaceful purposes in the future. Despite all efforts made by the majority of the international community, the world still is far from achieving this important objective. This article offers to the international community a group of actions for the strengthening of the nuclear weapon non-proliferation regime and for the beginning of multilateral negotiations towards nuclear disarmament.