This paper was concerned with the tensile mechanics behavior of the composite π-joint under static tensile loading. The numerical strength analysis methodology was presented containing the basis assumption for the analysis, the material modeling, and the selected element type. It was assumed that the composite ply had transverse isotropic material properties and the adhesive had linear elastic properties. With the goal of the strength analysis to determine the onset of the damage initiation and the ultimate failure load, two stiffness degradation models were discussed and a modified maximum stress failure criteria was presented. To verify the numerical model, a pull-off test scheme was performed and the experimental data of five specimens were given. The experimental results indicate that the damage initiation location and the failure load were consistent with numerical predictions and verified the feasibility of the numerical model.