Steel fiber concrete multi-ribbed composite slab system includes material composite and structure type composite, which has good mechanical and thermal insulation properties. This paper presents an assessment of the structure investigated using three-dimensional nonlinear finite elemental analysis. The analysis firstly has focused on solving the constitutive relation of the materials and the effect of steel fiber to determine the finite element simulation. Moreover nonlinear finite element analysis for the mechanical properties of the whole process on the composite structure system has been presented in this paper, and by changing the fiber volume fraction vf (0%, 1%, 2% and 3%) the parameter has been discussed. The analysis results show that stress distributions of the structure are close for different concrete strength and steel fiber volume fraction before formation of the plastic hinge lines of the upper edges. When the structure began to crack and the plastic hinge lines of upper edge gradually formed, due to the influence of the redistribution of internal forces, the steel fiber volume fraction has significant impact for the mechanic behavior of the structure. In addition, the steel fiber volume fraction on the developing and distribution of the cracks has little effect. This analysis method and results for the steel fiber concrete multi-ribbed composite structure can provide some valuable references for the structure research and application.