Abstarct: Boundary conditions are known to have an important influence on the buckling behavior of cylindrical panels. This project is devoted to a circular cylindrical panel with two kind of boundary conditions. In the first kind, two curved edges simply supported and two edges free and in the second kind three edges simply supported and one edge free. In this project, simulation and analysis of steel cylindrical panels with various lengthes, thickness, Radius and angles, subjected to axial compression, were systematically carried out using finite element numerical method and analytical method. In analytical method, the deflection function and the force function-the Airy function are formulated with respect to the boundary conditions. The Donnell equations for linear buckling of shells are reduced to generalized eigenvalue problem with the use of Galerkin method. The results obtained from analytical methods were compared with numerical results. A good accordance was observed between the results obtained from the finite element simulation and the analytical methods. The results of numerical and analytical investigation are presented in figures.