Abstract: This paper discusses the elastic equilibrium problems of anisotropic skew thin plate of variable thickness simply supported on all four sides in nonlinear theories, and uses the Navier method to seek an approach to the problem, and to illustrate the solution with the examples.In conclusion, the mention is made of the scope of application and the convergency of the solution.

Key words: variable thickness, anisotropic, skew thin plate, Navier solution