This paper presents a 3D numerical model of magnetoelectric sensors based on the finite element method. It is obtained using the association of magnetoelastic and piezoelectric behaviour laws. The 3D finite element formulation is evaluated on a bi-layer beam, combining magnetostrictive and piezoelectric materials, submitted to magnetic fields. These results are compared to the ones obtained with a validated 2D finite element model. At last, a cylindrical magnetoelectric sensor, which can not be modelled with a 2D analysis, is evaluated.