In a Level Set Method, it is essential that interface tracking and mass conservation are extremely precise. In addition, taking account of surface tension is also required in order to analyze fluid dynamics in two-phase flows which is a basic flow in nuclear engineering. Therefore, we must investigate the precision of surface tension that is included as a body force in Navier-Stokes equation for the purpose of accurate analysis of surface tension dominated flow. Accordingly, first, the precision of surface tension is examined by a static spherical drop problem. Next, analysis of a drop oscillation in zero gravity environment is performed. Consequently, it is indicated that an error norm of pressure induced by surface tension is large when density ratios between a drop and the surrounding fluid are large and the thickness of interface is small. In the analysis of a drop oscillation, it was also obtained reasonable results qualitatively, although the period of a drop oscillation varied according to the thickness of interface.