Abstract: In this paper,under the non-uniformtransverse load,the problems of nonlinear bending for orthotropic rectangular plate are studied by using"the method of twovariable"[1] and "the method of mixing perturbation"[2].The uniformly valid asymptotic solutions of Nth-order for ε₁ and Mth-order for ε₂ for ortholropic rectangular plale with four clamped edges are oblained.