Abstract: To estimate the compressive capacity of concrete filled circular steel tubular column, a compressive model for concrete filled circular steel tubular columns based on influence parameters is developed by using Bayesian multivariate statistical theory and the collected 170 test results. The model is simplified through the Bayesian parameters removal process. And the performance of the developed probabilistic model is confirmed by comparing with the calculation results of existing codes such as Technical Specification for Concrete Tubular Structures(GB 50396-2014), AISC360-2010 of American Society for Steel Structures and AIJ-SRC01 of Japanese Building Society. Good agreement between the compressive strengths obtained by the simplified model based on Bayesian and test results is achieved. And the results updating Bayesian dynamic are closer to the tests than the code. The simplified model can be used in calculating compressive strength for concrete filled circular steel tubular columns.