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This paper presents a domain decomposition method for buckling analysis of rectangularKirchhof plates subjected to uniaxial inplane load and with mixed edge support conditions. A plate isdecomposed into two rectangular subdomains along the change of the discontinuous support conditions.The automated Ritz method is employed to derive the governing eigenvalue equation for the plate system.Compatibility conditions are imposed for transverse displacement and slope along the interface of the twosubdomains by modifying the Ritz trial functions. The resulting Ritz function ensures that the transversedisplacement and slope are continuous along the entire interface of the two subdomains. The validity andaccuracy of the proposed method are verified with convergence and comparison studies. Buckling resultsare presented for several selected rectangular plates with various combination of mixed edge supportconditions.