The methods of calculating the strength of concrete-filled steel tubular members based on the theories of plasticity of Saint-Venan and Huber-Mises-Genka are developed in the article. The criterion for the destruction of the composite element is the ultimate limit state. The strength of the normal cross-section of a cylindrical concrete-filled steel member at axial compression is determined taking into account the meridional pressure of the concrete on the tube and axial stress in it. The equation of strength of the tubular member is obtained, in which the stress in the tube reaches the design yield strength of steel at the moment of destruction of the element, that is, the strength of the materials is used completely. An example of the calculation is performed and the results of the calculation is compared with the experimental data for 13 samples.