In this work an applicable mathematical method is described in the analysis and description of the profile of the drop obtained in the sessile droplet test. The proposed method bases on the study of the differential geometry of surfaces and in the analysis of phenomena related with the creation, expansion and contraction of interfaces to calculate the surface tension of metals. Liquid vapor surface energy of tin and indium were calculated by using sessile droplet method. Tests were carried out at 280 and 350oC temperature over a titanium nitride substrate. Results showed a very good agreement between both methodologies. For example, Sn at 280oC presented a surface tension of 545 mN/m, which is closer to the value reported in the literature (550 mN/m).