The process of simulating low-velocity impact in three-dimensional space and the behavior of materials remains a difficulty and challenge in achieving high accuracy compared to reality. There are two main methods to simulate delamination phenomena in impact damage: the classical simulation method and the method using cohesive elements. In this study, the method for determining the parameter set of the adhesive element is established through a theoretical model combined with numerical simulation. Three different composite samples are used to assess the accuracy of the collision simulations on these samples by comparing them to the experimental results from previous studies. Flat composite samples subjected to low-velocity impacts are examined for delamination damage based on the cohesive zone model (CZM) and through finite element analysis (Abaqus/Explicit). The error of the CZM simulation method, compared to the experimental results in the cases of Luo and Shi, is 12.5% and 9.9%, respectively, indicating a significant improvement over the classical simulation method. Subsequently, the impact of collision energy levels and the damage growth law on the prediction of delamination size was investigated.