Numerical modelling of mechanical stresses in running fuel cell is provided. The evolution of stresses and plastic deformations in the membrane has been obtained during the turn-on phase. The operating conditions have been taken into account by imposing the heating sources and the humidity field. The results have been presented on two scales: the global scale reflects the stress evolution in the entire fuel cell and the local one corresponds to the tooth/channel structure. it has been shown that the stresses are strongly heterogeneous on the both scales and time dependent. From the mechanical point of view, the most sensible zone is under the GDL/seal joint interface. In the running fuel cell the heterogeneity decreases while it rises in the fuel cell just after the assembly. The stresses reach the maximum values during the humidification step, the magnitude of these stresses is sufficient for initiation of the plastic deformations in the Nafion membrane. (C) 2008 International Association for Hydrogen Energy. Published by Elsevier Ltd. All rights reserved.