Abstract: Proton exchange membrane fuel cell (PEMFC) modeling research can help to realize its new characteristics verification, new structure design, and new control strategy analysis, which has the characteristics including various modeling features and diverse modeling methods. Based on the model hierarchical characteristics including component, cell, and the stack of PEMFC, together with the dimensional characteristics of the model from "zero-dimension" to "three-dimensions", this paper gave a comprehensive review for the existing domestic and foreign PEMFC modeling methods. The differences and connections, advantages and disadvantages, and the applicability between mechanism modeling, semi-empirical modeling, empirical modeling and data-driven modeling were analyzed in detail. At the same time, modeling research for potential future PEMFC development trend was discussed. This review can help to provide certain references for the development of PEMFC regarding its different developing stages, and can also be helpful for the selection of modeling methods for different PEMFC applications.