Abstract: The dynamic problem of constrained layer damping (CLD) cylindrical shell is investigated by the distributed parameter transfer function method. Based on Donnell assumptions, the motion equations and boundary conditions are derived for CLD cylindrical shell by the Hamilton principle. After trigonometric series expansion and Laplace transform, the state vector is introduced, and the systemic equation in state space is established. The state equation is solved by the distributed parameter transfer function method. The natural frequencies, loss factors and curves of frequency response of a clamped-clamped CLD cylindrical shell are obtained in numerical examples. The results show that this method has many advantages such as good accuracy, less computer time and convenience of considering the frequency-depended viscoelastic material’s shear modulus in damping layer.