In reference to Pope Saint John Paul II and the concept of a ‘new world order’ – to which his name is sometimes attached – we should be clear that the Pontiff himself, called for “a new international order” but he did not use the expression “world order”. The term world order would seem to imply a world government, but an international order would rather imply a coalition of independent States. While the world order could be under a totalitarian regime the international order would have to issue from an agreement achieved by all the nations. Furthermore, the latter new order would rest on the principle of subsidiarity.
Pope John Paul ll explains these two requirements in his 1981 Apostolic Exhortation : Familiaris Consortio
Grace and responsibility of the Christian family