A three-dimensional model of bolted single-lap composite joint was developed to investigate the influence of ply angle on failure response of joint. This model can predict the failure mode and failure load of joint with arbitrary ply angle. The property analysis of joint was performed by using the ABAQUS FE code. Failure response and degradation of material properties were implemented using a progressive model, which is incorporated in ABAQUS USDFLD subroutine. The progressive model utilizes a set of stress-based three-dimensional Hashin criteria and a set of appropriate degradation rules.