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Super elliptical plates which are defined by shapes between an ellipse and a rectangle have a wide range of use in engineering applications, and the research about super elliptical plates is one of topics in mechanical structure analysis.In this paper, nonlinear bending analyses are first presented for super elliptical thin plates with immovable simply supported edge and immovable clamped edge based on classical plate theory.Approximate solutions of super elliptical thin plates are obtained by Ritz method, and the validity can be confirmed by comparison with related researchers' results.It can be observed that the characteristics of nonlinear bending are significantly influenced by different boundary conditions and ratio of major to minor axis, but are insignificantly influenced by the power of the super ellipse.