The purpose of this work aims to assess the failure of an open-hole composite laminate subjected to tensile loading, using different progressive damage approaches. Within Abaqus, a user-defined material subroutine (UMAT) was developed and implemented by applying a combination of Puck’s failure criterion and the gradual degradation model. In addition, the integrated model in Abaqus based on the Hashin failure criteria coupled with the continuous damage model has been also considered. Moreover, the effect of different specimen sizes on the behaviour of the AS4/PEEK composite laminate has been performed. The predicted results were compared to those available in the literature. The results of this comparative study showed good agreement between the experimental outcomes and the numerical predictions.