Aiming at the scale model design and similarity prediction of the buckling of the new typical gas holder’s body (large thin-walled ring and stringer stiffened-cylindrical shell) under axial compression, general similitude requirements and scaling laws of stiffened shells under axial compression are presented based on the dis? crete stiffened method and the total energy of the structural system. For the ring and stringer stiffened-cylindrical shells with different initial imperfections and modeling material properties, the partial similitude of the post-buckling behaviors under axial compression is mainly investigated. The results show that: using partial similitude scaling laws for the post-buckling of stiffened cylindrical shells under axial compression, scaled models can accurately predict the post-buckling behaviors of prototypes of discretely ring and stringer stiffened-cylindrical shells under axial com? pression. When the material Poisson's ratio of the model and the prototype is the same, the model can accurately pre? dict the post-buckling behaviors of the prototype under axial compression. As the material Poisson’s ratio deviation between the model and the prototype increases, the deviation of the post-buckling behaviors between the predicted prototype and its corresponding prototype gradually increases. In conclusion, the design method of scale models and scale laws are suitable for the similarity prediction of the post-buckling behaviors of discretely ring and stringer stiffened-cylindrical shells with different initial imperfections and material properties, which provides a reference for the scale model design and test of similar structures in practical engineering.