2004-Fez conference on Differential Equations and Mechanics. Electronic Journal of Differential Equations, Conference 11, 2004, pp. 129-134. Title: Stability of the principal eigenvalue of a nonlinear elliptic system Authors: Abdelouahed El Khalil (Ecole Polytechnic School Montreal, Canada) Mohammed Ouanan (Faculty of sciences Dhar-Mahraz, Morocco) Abdelfattah Touzani (Faculty of sciences Dhar-Mahraz, Morocco) Abstract: This paper concerns some special properties of the principal eigenvalue of nonlinear elliptic systems with Dirichlet boundary conditions. We study the stability with respect to the exponents $p$ and $q$; and the dependence on the domain variations. Published October 15, 2004. Math Subject Classifications: 35P20, 35J70, 35J20. Key Words: p-Laplacian operator; principal eigenvalue; stability; segment property; dependence on the domain.