The current situation of reservoirs with high water cut or low permeability in China has provided a vast space for development of CO2-EOR technique. Reservoir numerical simulation has occupied a key status in CO2-EOR technique. Therefore, it is necessary to make analysis for mathematical models of the CO2-EOR process and describe these models according to their types. This paper,on the base of references home and abroad, classifies the CO2-EOR mathematical models into five categories and summarizes the characteristic of each type. This aims to recognize the pros and cons of these models to provide references and supports in models modification and numerical simulation application in CO2-EOR. Furthermore, the new viewpoints of developing directions in CO2 flooding models are also presented.