This paper deals with modeling and simulation of stress effects on hydrogen permeation through tubular multilayer membranes. In this case, it is shown that hydrogen concentration undergoes a stress-dependent jump across an interface between two materials, a result that follows from the continuity of the chemical potential and its dependence of the stress. A finite-element model, in which hydrogen concentration is approximated by using discontinuous functions, and the corresponding interface condition is accounted for in a weak manner, is developed and implemented using COMSOL Multiphysics. Numerical results for single-layer and multi-layer membranes are presented and discussed. Copyright (C) 2015, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.