This work aims to study the effect of obique stiffeners on the nonlinear static and dynamic buckling behaviors of S-FGM cylindrical panels based on the classical shell theory (CST) with the geometrical nonlinearity in von Kármán Donnell sense. The dynamic critical buckling load is obtainted by Budiansky-Roth criterion. The cylindrical panels are reinforced by oblique stiffeners on the top layer, and supported by elastic foundations on the bottom layer. Numerical results are given to evaluate effects of inhomogeneous, dimensional parameters, temperature increment, compressive pressure, oblique angles of stiffeners, the imperfection of original shape, and elastic foundations to the nonlinear static and dynamic response of S-FGM cylindrical panels in the thermal environment.