This paper studies the analytical model for damping of composite laminates. For this purpose, frequency equations are derived analytically based on Flugge-type Classical Lamination Theory(CLT), First-order Shear Deformation Theory(SFDT) and Higher-order Shear Deformation Theory(HSDT), and then fundamental frequencies and specific damping capacities of the cantilevered beams with different stacking sequence are calculated numerically. The applicability of each theory for damping analysis is studied from the comparisons of the results obtained, and experiments are also carried out to clarify the numerical results.