The anisotropic property of Fiber Reinforced Plastics (FRP) greatly influences the vibration characteristics. In this paper, a natural frequency of FRP considered its anisotropic property by the rule of mixture is calculated by using the real eigenvalue analysis of the FEM model. It is assumed that the dissipation model of vibration energy is presented by the mass-spring model. This model expresses shear springs of fiber and matrix resin which connect in series. The spring coefficients are identified by the sensitivity analysis. In this analysis, the elastic modulus of matrix resin is chosen as the design parameter. Then matrix resin is viscoelastic, the shear spring is presented by km(1 + iηm). Therefore, the loss factor of FRP is calculated by dividing imaginary part of the total shear spring coefficient by real one. This method is sufficiently reliable to predict the vibration characteristics of FRP.