Based on the electrodynamics equations, the electromagnetic forces and moments applied on a cylindrical shell were obtained. Magnetoelastic axisymmetric vibration equations of the cylindrical shell under a longitudinal and a transverse magnetic field were derived respectively. Applying the assuming displacement function, the damped vibration differential equations of the cylindrical shell with two opposite simply supported sides were obtained. For examples, response curves and phase figures of damped vibration were demonstrated. The effects of magnetic induction and the thickness of the shell on amplitude damping were discussed. The results show that the vibration can be controlled by adjusting the magnetic induction．