A new surface treatment was proposed to attenuate the undesirable axial symmetrical vibrations of a cantilever cylindrical shell. The proposed treatment relies on, in its operation, the use of the attraction arrangement magnets in the clamped end and on the constraining layers root . The interaction between the magnets and the viscoelastic layers aims at enhancing the energy dissipation characteristics of the damping treatment. This new treatment will be called Magnetic Constrained Layer Damping (MCLD) treatment. The analytical model of the axial symmetrical vibration of the cantilever cylindrical shell treated with fully MCLD has been derived. The longitudinal and circumferential force equilibrium equations in terms of the axial displacement u30 in constraining layer and radial displacement w and the constant c were derived. Since the dynamic magnetic force resulting from the variation of u30 can be incorporated into the boundary conditions, the developed model can describe the dynamics and the damping characteristics of the structure with MCLD .Also the performance characteristics of the MCLD was compared with the corresponding performance of the conventional Passive Constrained Layer Damping (PCLD). The obtained results indicate that using the fully MCLD treatment can simultaneously suppress vibration for the first several modes of the cantilever cylindrical shell.