Abstract: Based on the theory of Reddy layerwise, the governing equations of fiber-reinforced viscoelastic composite laminates are derived. The frequency and loss factor of free vibration are obtained. The variation of the natural frequency and loss factor along with the fiber volume fraction or the thickness of fiber-reinforced layer is analyzed. The harmonious transverse stresses are calculated. The results of numerical analysis show that the structure loss factor of damping laminated shells increases with the increase of the volume fraction of fibers. The parameter of the damping layer has great influence on the structure loss factor and transverse stresses; there shall be an optimal value about the modulus of damping material. The main factor of delamination is that transverse stresses are very high in a high-order mode.