Abstract: Analytical solutions of laminated shells with magnetost rictive and viscoelastic layers are presented in thispaper. In the mechanics model , it is assumed that the viscoelastic layer only has shear deformation and the magnetost rictive materials can be studied by employing a biased linear constitution. Solving the motion equations of thelaminated thin shell with magnetost rictive layer , viscoelastic layer and composite layer , the natural f requency andthe loss factor of a st ructure are deduced. The result s show that the loss factor of a laminated st ructure is stepped upby using magnetost rictive material as the const rained layer.