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The bending problem of a damped rectangular plate with in-plane variable stiffness is studied by using the method of superposition.By choosing a simply supported plate as a basic system,the plate damped at four edges is regarded as the superposition of one simply-supported plate under the transverse load and two simply-supported plates under pure bending.The bending problem of a clamped rectangular plate with in-plane variable stiffness under the transverse load is solved analytically.And the influence of in-plane variable stiffness on the deflection and bending moment is studied through numerical examples.Analytical solution presented herein may be helpful for the design of rectangular plates with in-plane variable stiffness.