This paper studies the "rise of China" and its implications for China-U.S. relations and China-Russia relations. First, the paper reviews the substantive changes in China-U.S. and China-Russia relations from the Cold War era to the post-Cold War period. Next, it examines how the United States and Russia are responding to the "rise of China" in diplomatic relations, economic cooperation, international politics and geopolitical strategies. Finally, this paper compares the similarities and differences between Washington's and Moscow's dealing with Beijing. This study shows that in the post-Cold War years, China-U.S. relations involve competition and cooperation in economic areas, but obvious competition and confrontation on military and security issues. In contrast, China and Russia showed more cooperation than competition in the same period, while having conflicts in military cooperation and energy issues.