2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco. Electronic Journal of Differential Equations, Conference 14 (2006), pp. 1-7. Title: A solution method of the Signorini problem Authors: Ahmed Addou (Univ. Mohammed premier, Oujda, Maroc) Abdeluaab Lidouh (Univ. Mohammed premier, Oujda, Maroc) Belkassem Seddoug (Univ. Mohammed premier, Oujda, Maroc) Abstract: In this note, we are interested in the variational formulation of an unilateral contact problem, the so-called Signorini problem. We show that the normal derivative of the solution, can be computed according to the data of the problem. What permits the determination of the solution by solving a Neumann problem. Published September 20, 2006. Math Subject Classifications: 35J85, 35J35. Key Words: Signorini problem; variational inequality.