The magnetic properties of laminated electrical steels are degraded by punching because of plasticity localized along the cutting edge, but also because of residual stresses, which may spread over the whole lamination. In this article, long-range residual stresses are analyzed via a simplified mechanical analysis. Then, their effect on the global magnetic behavior of the lamination is calculated by a magnetoelastic coupled model. It is found that the relative influence of residual stress is as important as the one of plasticity alone.