The RayleighRitz method was applied for the damping analysis of flexural vibration of the cantilever cylindrical shell with partial magnetic constrained layer damping treatment (MCLD). The analysis was carried out in terms of resonant frequencies and the associated modal system loss factors. Singleterm solutions for respective modes were assumed for the xaxial and circumference directions inplane displacements of the constraining layer and the radial displacement of the shell .We obtained the improvement of damping characteristics for the unaxialsymmetrical vibration mode (m=1,n=1)using MCLD patches with different configurations. The obtained results indicated that the MCLD with patch far from the line θ=±π/2 could enhance significantly the loss factors η. Provided that the damping layer is located at θ=0,π ,both PCLD and MCLD can gain maximal modal loss factor, and MCLD can increase the loss factor about 40 per cents verus PCLD. Increasing damping layer length or circumference angle can cause ηrise, but decrease the damping improvement effect of MCLD.