Abstract: A dynamic model of MVFLM plate with three viscoelastic layers,two fiber reinforced layers and metal outer layers isestablished.The coordinate system is set in the central layer of the laminated plate structure.The high-order shear deformation theory is used to consider the shear strain effect of multiple viscoelastic layers,the classical laminated plate theory is employed on themodelling of fiber layers and metal layers,consequently the displacement field function of MVFLM plate can be obtained.Thebased excitation is equivalent to the uniform inertia force load,the kinetic energy,potential energy and external work of the systemare obtained based on the energy method,and vibration mode functions corresponding to the boundary conditions are expressed bythe orthogonal polynomial method.In this way,the natural frequencies,modal shapes and vibration responses of MVFLM platewith multiple viscoelastic layers can be successflly solved.The validity of the dynamic model is verified by comparing with the results of the literature calculation and instance tests.