Riveting technology is widely used as a non-detachable connection method in the aircraft assembly process, and carbon fiber reinforced composite materials have become popular in the aviation industry due to their excellent mechanical properties. In the process of riveting carbon fiber reinforced composites, the deformation of rivets can make damage to the riveted carbon fiber reinforced composites, affecting the quality of the riveting and its service life. Aiming at this problem, the finite element simulation software ABAQUS was used to create a 3D model of composite double-sided countersunk riveting, a VUMAT user material custom program was written through the ABAQUS subprogram interface, the advantages of the Hashin criterion and the Puck criterion were taken as the three-dimensional failure criterion, and a reasonable stiffness degradation method was selected to analyze the progressive damage of the composite material after riveting. Through the simulation of the composite material riveting process by ABAQUS, the forming law of the rivet in the riveting process is gotten,the main damage failure forms of the composite laminate are the compression and stretching of the matrix and the fiber compression,the expansion directions of the damage failure are gotten.