In this paper, the numerical simulation models of composite structural damage under low velocity impact are classified and evaluated. The low-velocity impact model is composed of two kinds of sub-models: the impact process model and the material damage evolution model. The key elements of each type of model and their processing methods are listed. The commonly used combinations are collected and reviewed, and six simulation models with high frequency in the literatures are listed. The numerical evaluation of two examples with the listed six models was completed, and the results show that for orthogonal laminated plates, the damage shapes and areas given by the six models can be predicted accurately, but for the angle-ply laminated plate, the delamination damage morphology achieved by the model of Puck criterion, considering shear nonlinearity and based energy release rate is closer to the experimental results.