The shielding efficiency of cylindrical shields for three phase underground cable is investigated for several shields material using finite element method (FEM). This FEM model takes into account the nonlinear hysteretic behavior for ferromagnetic material in the shield. The shields are cylindrical shaped and the power cables are positioned in flat configuration. The shielding efficiency is compared for shields with the same geometry but several shielding materials with nonlinear hysteretic behavior (Magnetil and DX52, both from Arcelor-Mittal firm) and a non-ferromagnetic and electrically conducting shielding material (Aluminium). The paper investigates the influence of several parameters on shielding efficiency: the size of the shield radius, the current amplitude in the cable and the thickness of the shield. Magnetil shield material is the best in terms of shielding performance. The numerical models are validated with experimental results for without shield.