Solar Radiation Pressure (SRP) has become the major error factor of the precise orbit determination of the navigation satellites because its model is very difficult to establish. Hence, in order to improve the precision of orbit determination of the satellites, it is necessary to construct SRP model precisely. With the stable operation of COMPASS satellite navigation system, the development of SRP model suitable for COMPASS satellites has become a research hotspot. This paper reviews the research progress on SRP models in recent decades, introduces several common SRP models, analyzes their modeling principles, compares the advantages and disadvantages of each model. In addition, this paper also introduces the research progress of COMPASS satellites SRP modeling and provides a reference for further modeling researches.