Many of Scholars of International Relations believe that the twenty first century should be entitled as Eurasia Century, since maritime and land dominance over this region, could change the future of power equations in the structure of international system. Eminent geostrategic situation as well as abundant natural resources, is the driving force for transregional countries´ attempt to influence in the region. The United States is one of the countries that follows the expansion of its multilateral influence in Eurasia. In the frameworks of expansionism and interventionism concepts, the United States allows itself to interfere in a region thousands of miles away. From the prism of American strategists, through an anti’ hegemonic alliance against US, China as Russia, can prevent the implementation of American provision for the international order. During more than last two decades, China and Russia have used their potentialities in order to make a strategic alliance; to configure a balance – oriented order; and to prevent the intervening of transregional powers. Although both countries have a common theoretical vision towards the United States’ hegemony, the mentioned alliance has not still implemented. Against this background, the following question is aroused: Why a strategic alliance is not configured between China and Russia, considering their common strategic goals? What restrictions and considerations are the obstacles to the implementation of the mentioned alliance? In order to answer the questions mentioned above, the hypothesis is that Russia and China’ s different historical looks towards Eurasia, as well as the nature of their bilateral relation with the United States and their different relation backgrounds, lead to different priorities of national interests are among the main reasons of non-implementation of an anti – hegemonic alliance against the Unites States.