The invention relates to a concrete member, particularly to a cross shaped section composite column used for civil engineering. The steel skeleton-steel pipe fiber concrete cross shaped section composite column is composed of steel skeletons, a steel pipe, steel bars and fiber concrete. The steel skeletons are on the limbs of the cross shaped column, and are in favor of improving the stress performance of the limbs of the T-shaped column; the steel pipe is located at the intersecting core part of the column limbs, thus effectively limiting the brittle deformation of high-strength concrete and promoting application of high-strength concrete in the cross shaped column; the fiber concrete is arranged inside and outside the steel pipe, and the characteristics of the fiber material are fully utilized to improve the low brittleness, tensile strength, shearing resistance, bending strength and other disadvantages of high-strength concrete; the steel bar skeletons have a restriction effect on the fiber concrete and strengthen the bearing capacity of the column. The steel skeleton-steel pipe fiber concrete cross shaped section composite column provided by the invention is a main member of the frame structure in high-rise and large span buildings, and has the characteristics of high bearing capacity, high stiffness, light weight, good plasticity and toughness, good impact and fatigue resistance, excellent seismic performance, and good durability, etc.