Abstract: The buckling and the initial post-buckling behavior of laminated composite shallow panels with orthotropic modular property under axial compression are analyzed. The expressions of critical load and initial post-buckling parameters and the asymptotic solutions of post-buckling state are given by solving the first two perturbation equations. As examples of application, the buckling and initial post-buckling behaviors of long shallow panels of two different laminatings, cross-ply and angle-ply, are consi-dered. Some useful conclusions are drawn.