Abstract: Composite laminates are widely used in aerospace and other fields. Delamination is the main damage form in composite laminates, which has a significant impact on the strength and stiffness of composite structures. It’s one of the hot issues which is limited in major engineering applications. It often takes a lot of time and cost to study composite structure by experimental methods. Mature finite element numerical simulation technology can realize the layered behavior simulation of composite structures at a low cost and become an important means for delamination damage research. In this paper, from the perspective of numerical simulation, the research results on the interface damage of fiber reinforced composite materials at home and abroad are summarized, and the current main methods are virtual crack closure technology (VCCT), cohesive force model (CZM) and extended finite element method (XFEM). Finally, the text makes a prospect for the future work.