The article studies the evolution of the world order starting to form from the ancient times as well as the main factors, principles, and ideas underlying the establishment and change of this order. The author analyzes the way the world order based on the American hegemony was formed, developed and how it has started to weaken; there are also con-sidered different approaches to the fact of weakening of the US leading positions and it is also shown how globalization has become more profitable for the developing and not developed countries. The author gives the main characteristics of the contemporary international affairs and denotes the situation as the starting reconfiguration of the World System which may bring the turbulent epoch of formation of new coalitions. This will be a certain transition period to a more stable world order whose establishment will be far from simple. The author argues about the directions and the ways this new world order can be formed, what will be its foundations and possible mechanisms of establishment, in particular, through the development of ‘expertocracy’ at the background of declining democracy.