Abstarct: Stability analysis and buckling behavior of plates, always as one of the most important matters in the structural analysis has been emphasized. In this paper, Asymmetric buckling of functionally graded (FG) annular plates on an elastic foundation under uniform radial compression and thermal loading is studied analytically. The equilibrium equations of an annular-shaped plate are obtained baxsed on the classical plate theory (CPT). Each thermo-mechanical property of the plate is assumed to be graded across the thickness direction of plate baxsed on the power law form, while Poisson’s ratio is kept constant. Temperature-dependency of the material properties is also taken into account. Existence of bifurcation buckling for various edge supports is examined and stability equations are obtained by means of the adjacent equilibrium criterion. An exact Asymmetrical solution is presented to calculate the Asymmetric buckling load by obtaining the eigenvalues of the stability equation. In this study, inner and outer edges of plate subject uniform radial compression. The effects of thickness to outer radii, inner to outer radii, power law index, elastic foundation coefficient, and temperature-dependency of the material properties on critical buckling load of FG plates are presented.