The relationship between the United States, China and Russia constitutes the most important basic component for the modern world order that is emerging after the collapse of the bipolar system. The nature of the future world order, the principles and prospects of its future existence depend on them. At the moment, US relations with the other two “sides of the triangle” are in deep crisis due to intense rivalry with them. And the future fate of mankind decisively depends on how it is overcome. One thing is clear – the methods of overcoming the existing contradictions and disagreements can only be peaceful, based on agreements and compromises between the conflicting parties.