Abstarct: In this research, the mathematical solution for axisymmetric vibration of annular viscoelastic plates with moderately large deformation under transverse load has been taken. The viscoelastic behavior has been assumed the standard linear solid in shear and elastic in bulk. The governing equations which are four coupled nonlinear partial differential equations with variable coefficients have been extracted using the Hamilton's principle by considering the first order shear deformation theory. The perturbation technique has been used for determining frequencies and transient response. The numerical analysis has been done by using ANSYS software. The sensitivity analysis has been performed and the effects of the geometrical and materials parameters on the frequency and response have been studied. Also a comparison between the classical and shear deformation theory and a discussion about the nonlinearity effect on the results has been presented.