A metaod of analysis is presented for circular cylinderical panels under external loads and steady creep deformations. The analysis are valid for small and moderately large displacements. Initial imperfections are included. The case of simply supported cylinderical panels under external axial compressive load is investigated in detail. The buckling and post buckling behavior of cylinderical panels is described first, the analysis is based on Von Karman Donnell general equations for cylinderical shells. Using the Norton's secondary creep law, the deformation rate and creep buckling were described in order to predict the critical creep time of cylinderical panels under steady creep conditions.