As the world's most powerful military and economic country, the United States places a special emphasis on free navigation in various sea areas and demands no "excessive ocean claims" from any countries. Two decisive elements are required to achieve this goal: no "excessive ocean claims" among the South China Sea Claimants in the Spratly Islands & the adjacent waters and forcing China to comply with the international laws. However, unwillingly to make entire concessions to U.S., the South China Sea Claimants are also interested in retaining or acquiring their rights of the exploration and the strategic control of the above-mentioned sea areas. Thus, the conflict between China's eager to take over the control of the South China Sea and U.S. "Hegemonic Governance" will still cause a continual dispute. This paper is to aim a discussion that U.S. Hegemonic Governance can only be practiced under three critical conditions listed below. First, a tangible strength must be integrated with the international system. Second, Washington's claims must be legal and reasonable. Lastly, "Hegemonic Governance" must focus on both mandatory and non-mandatory factors.