Adhesion tension can be determined using the potential theory that the total energy of the drop on a plate is minimized. In order to calculate the energy of the drop, it is necessary to find a fitting curve that indicates the precise drop profiles in video image. In this study, a precise numerical curve-fitting method of sessile drop profile is proposed, which is based on the geometrical boundary conditions for Laplace equation derived from the approximate curve of the drop by video image processing. It is found that the proposal solution fits the profile of measuring pure water drops in the video image processing.