The paper presents the coupling between the finite element and the boundary element methods as an efficient technique to solve the problem of the modelization of movement in two-dimensional electromagnetic field computations. On the one hand, the finite elements are used inside the magnetic and conducting parts where they permit to take into account the complex behaviour of materials such as saturable ferromagnetic materials. On the other, the boundary elements are used around the moving parts where they prevent the deformation of the meshes. The formulation of the eddy current problems leads to an automatic computation of the motional induced electromotive force