In order to research the seismic performance of concrete column reinforced by steel-basalt fiber reinforced polymer (BFRP) composite bars (SBFCB), seismic performance of four concrete column specimens reinforced by steel or SBFCB are obtained in the experiment, the main parameter is the basalt fiber content (equivalent reinforcement ratio) in specimens. The test results show that with the increase of post-yield stiffness ratio of SBFCB, the bearing capacity and post-yield stiffness of specimen increase significantly. Based on the experiment, the SBFCB concrete column skeleton curve model and the math expression of feature points are suggested. The model present the quantitative relationship between parameters of feature points and structural characteristics and the math expression express the internal relationship between mechanical properties and parameters such as cross section dimension, axial compression ratio, the material constitutive relation and the influence of fiber content in composite bars. Theoretical results are in good agreement with the test results, which show that the skeleton curve model is practical and accuracy with good predictability for RC column. It makes frame models by simplified beam column element model and provides reference for nonlinear analysis of concrete frame structure.