In this paper, the meso-scale finite element method is used to evaluate the transverse tensile damage behaviors of three-dimensional five-directional braided composites based on the representative volume cell. Finite element models with two kinds of interior braiding angles, 30° and 45°, are established on the basis of the realistic geometry shape of each yarn. A continuum damage mechanics model, which is implemented as a user-defined material subroutines in the ABAQUS commercial finite element code, is used to capture the complete damage initiation/evolution in yarns and matrix. The local responses and the failure mechanisms are analyzed. Numerical results show that the transverse tensile strength and the failure mechanisms are significantly influenced by the braiding angle. The predicted stress–strain responses and final damage morphology agree well with the experimental data, verifying the applicability of the meso-scale finite element method.