Given that our proposal constitutes a supranational world order that would replace the war of all against all among nation states claiming absolute sovereignty, it is incumbent on us to sketch out how such a rationally based ideal can be achieved in practice. In this chapter, some tentative suggestions are made as to the practical organisation of such a world order in terms of its legislative, executive and judicial functions. Based on the model of the EU’s institutions which have worked reasonably well even if not perfectly for nearly 70 years by now, we suggest a High Authority as executive; initially a World Council of Ministers making decisions in the area of competence of the supranational authority by qualified majority voting; and a World Court of Justice with real enforcement powers analogous to the European Court of Justice. Since such an arrangement could involve some real challenges in scaling up from the EU case to world level, notably the problems of democratic deficit, a radical suggestion is made to address this issue: the state units below the World Authority although they may initially be the 193 members of the current UN could eventually be broken up into much smaller units with populations never in excess of 10 million people; and in these cantons or city states, direct democracy would be practised. The World Council of Ministers would then evolve into a World Parliament with approximately 1000 MWPs (one per canton/city state) as legislative organ for the World authority.