In the earthquake resistant design of high-rise reinforced concrete(R/C) buildings, it is very important to clarify the inelastic behaviour of columns subjected to bending moment and axial force. Among the various analytical models for R/C column, the plasticity theorem model is considered to have a lot of advantage to 3-dimensional inelastic analysis. We have been developing an analytical method based on the plasticity theorem. In this paper, we performed static analyses of R/C columns under bending moment and varying axial force, and a dynamic analysis of shaking table test of a 3-story R/C space frame using this method. Through these analyses, the usefulness of this method based on the plasticity theorem to 3-dimensional inelastic analysis of R/C columns subjected to bending moment and axial force is shown.