Due to the good corrosion resistance and high bearing capacity, the concrete-filled stainless steel tube has an excellent application prospect in the offshore platform, bridge and underground engineering. However, there is no relevant specification for calculating the capacity of concrete-filled stainless steel tube. In order to investigate the bearing capacity of circular concrete-filled stainless steel stub columns (CSSSC), the uniaxial compression experiments of seamless CSSSC with different diameter thickness ratios were conducted. As a result of the experiment, the failure modes of CSSSC under uniaxial compression, the load-axial strain curve, the load-hoop strain curve, the load-longitudinal strain curve, the relationship between bearing capacity and stainless steel tube constraint coefficient, and the relationship between the ductility of specimens and the constraint coefficient of stainless steel tube were all obtained. Meanwhile, based on the results in this study and existing literatures, a regression formula for predicting the axial bearing capacity was obtained, which was compared with the results calculated according to standards of different countries. Finally, the compressive bearing capacity model of circular stainless steel tube concrete was derived from the fitting formula and compared with some existing models, such as Mander’s model, Li’s model, Xiao’s model and Teng’s model. The results show that the typical failure mode of CSSSC under uniaxial compression was outward local buckling failure. The ductility and bearing capacity of specimens increased with the increase of the restraint effect coefficient of stainless steel tube. The calculation method of bearing capacity of concrete-filled steel tubular used in the calculation of bearing capacity of short circular stainless steel tubular concrete columns was relatively small, and the calculation result of the fitting formula in this study was closer to the test results. The results of the bearing capacity model presented here, Xiao’s model and Teng’s model were close to the test results, but the standard deviation of the calculation results of the model in this study was the smallest and the bearing capacity of the circular stainless steel tube concrete short column was slightly larger than that of Xiao’s model and Teng’s model.