The Puck criterion is an essential damage model for composite materials, considering both fiber and matrix failures simultaneously. It provides a practical way to predict the onset of damage in composites under various loading conditions. This training package is focused on simulating composite PUCK damage in 3D continuum elements using UMAT, VUMAT, and USDFLD subroutines in Abaqus. It covers different types of failure in composites, including fiber failure, matrix cracking, delamination, and interfacial failure, as well as criteria for predicting failure modes in composites that are dependent or not dependent on each other, such as the Tsai-Wu and Tsai-Hill criterion, respectively. Additionally, the package covers composites' most commonly used damage criteria, including the Puck criterion. The package provides step-by-step guidance on simulating composite Puck damage using each of the subroutines mentioned above in Abaqus.