Concrete-filled steel tube columns with L-shaped and T-shaped cross-sections have found a special place in modern construction due to their structural and architectural advantages. This research has conducted a comprehensive study combining numerical and analytical methods with the aim of filling the existing gap in predicting the torsional behavior of these columns. In this study, the torsional and combined behavior of composite columns reinforced with steel stiffeners has been investigated. For this purpose, advanced nonlinear modeling has been used, the results of which have been compared and validated with experimental data at three different levels. In these analyses, the effect of key parameters including the presence of stiffeners, changes in steel wall thickness, changes in steel strength, changes in concrete strength, as well as changes in confinement factor have been completely evaluated. The results of this research show that using steel stiffeners can increase the torsional capacity of T-shaped and L-shaped columns. It was also found that increasing steel thickness improves torsional capacity. Comparative examination of material parameters showed that the effect of steel strength on torsional capacity is much greater than the effect of concrete strength. Furthermore, using the modified least squares algorithm, novel analytical relationships based on confinement factor with accuracy above 93% for predicting the torsional capacity of these columns have been presented.