In recent years, the demand for the use of linear viscosity theory has increased. With the increasing use of viscoelastic materials in the aviation and marine industries as well as the increasing use of polymer materials, the importance of precise methods of designing and analyzing such structures has increased. These new materials themselves provide mechanical behaviors that cannot be described by theories of elasticity and viscosity. These materials have viscoelastic properties. The present study deals with the static and stability analysis of viscoelastic thin plates with simply supporte and clamped boundary conditions and a combination of the two. In all cases, to test the ability of the Generalized Differencial Quadrature method, the response is first calculated at the moment of onset, when the viscosity property is not activated, and is measured by the exact solution to the corresponding elastic problem. In order to show the viscous effect of the viscoelastic material, the response is estimated at different times and compared with the results for the coherence method with the Radial Basis Functions. The process of doing this analysis is programmed in the MATLAB software space and the results are presented in tables and diagrams. Keywords : Thin Plates, Viscoelastic, Buckling,, Generalized Differencial Quadrature method