Thermos bottles are expected to continue to play an active role in a variety of fields, ranging from familiar products such as water bottles and pots to recent applications such as the transport of vaccines and other pharmaceuticals and the transport of crystallized proteins in space development. However, as an effort to improve the usefulness of containers for transportation, new container shapes are being designed to increase the capacity and storage capacity. Deep drawing with a flange was adopted as the forming method. The purpose of this study is to understand the deformation behavior of materials in the deep drawing process of square containers to improve transportation efficiency, and to examine the optimized shape of the mold and blank for the target container shape of 100 mm cubic. In this study, the deep drawing process was reproduced by FEM analysis, and experiments were conducted using the shapes obtained from the analysis. The results showed that, in deep drawing with flanges, the reduction of the corner section and the selection of the optimum blank size reduced the compressive and frictional forces and made the flange section uniform, thereby improving the drawing depth. In addition, optimization of the spherical head height reduces bending stress and improves drawing depth.