Abstract: The delaminaton in a laminate will induce buckling and postbuckling under a sufficiently large in-phane compression. The problems of buckling and postbuckling of clamped orthotropic rectangular delamination under compression have been solved by use of both force method and displacement-method in this paper. The solution of the boundary-valve problem of a set of nonlinear partial differential equations is reduced to solving a set of nonlinear algebriac equations. The corresponding numerical results are given.