Abstract: Closed-cell foam materials are the structural-functional integrated materials with the combined properties of lightweight, high specific strength, high energy absorption, vibration, and thermal isolation. As an auxiliary research method, the numerical simulation can offer the solution to the issues in experiment research, such as structural variation between samples and high costs of experiment. A large number of research studies have been performed on the properties and mechanisms of the closed-cell foam materials by experiments and numerical simulations. Modeling is the core issue in the numerical research of the closed-cell foam materials, because the credibility of numerical results relies heavily on the reasonable simulation model. The modelling of the closed-cell foam materials was comprehensively discussed in this paper. The existing foam models were summarized and classified into several types, including the continuous models, two-dimensional porous models, three-dimensional periodic foam models, three-dimensional reconstruction models, and three-dimensional random foam models. The advantages, disadvantages, and applicable scopes for each type of modeling methods were then analyzed thoroughly. The future trends in the modeling method were also proposed as achieving the balance between cost and simulation accuracy in the modeling of closed-cell foam materials and integrating the machine learning algorithms into the simulation modeling.