Abstract: In this paper, an anisotropic design is introduced to the laminated damped plates. The damping analyses of laminated anisotropic damped plates were carried out theoretically. The results indicate that it is feasible to carry out the optimization design of laminated anisotropic damped plates for obtaining the maximum loss factor. An important index for evaluating the effect of reducing vibration is the loss factor of the structure system. Taking a semi-infinite plate as an example, a lot of composite structures were calculated by varying different layers and layer orientation angles. At the same time, after the loss factor was defined as the objective function, the optimization design was carried out for obtaining the maximum loss factor with constrained conditions as the layer angle, frequency and layer thickness. The numerical results show that the use of compliant inner layering appeared to have more of an effect on damping than stress coupling and in the higher than fundamental mode, and the compliant inner layering laminates have significantly greater loss factors.