Based on the assumption of small deformation, this paper derives The torsional displacement function of centrally compressed stiffened cruciform column with initially twisted imperfection, gives its unified forms and discuss its property. A finite element model is developed and verified against the theoretical result. The study shows that results of FEM were generally in good agreement with the theoretical results when axial force is smaller then 0.4Af_y. The is obvious second-order effect between axial force and torsional displacement. The initially twisted imperfection has negative effect on the centrally compressed stiffened cruciform column, and the degree of the influence has positive correlation with its amplitute.