Anode of solid oxide fuel cell (SOFC) can take internally reforming reaction due to the high operating temperature, which provides high fuel flexibility. The SOFC can also be combined with gas turbine (GT) to form a hybrid power system to further improve performance efficiency. The SOFC/GT hybrid system can be operated with bottom or top cycle. Considering the limited demonstration projects and high construction costs of SOFC/GT, mathematical modeling and simulation methods are generally used to carry out SOFC/GT related research work. Different from separate SOFC or GT models, thermodynamic modeling and simulation studies are often conducted to analyze and optimize the performance of SOFC/GT systems. In this paper, the commonly applied thermodynamic modeling approaches of SOFC/GT hybrid system were first introduced and summarized. Following that, the common steady state and dynamic thermodynamic modeling work for SOFC/GT hybrid systems at present were reviewed. Considering that commercial software (Aspen Plus, COMSOL, gPROMs) is commonly used for modeling SOFC/GT hybrid systems at this stage, and the modeling functions are limited and not easy to expand, open source code programming can be performed based on Matlab, Python and other software. At the same time, the analysis mainly focuses on SOFC/GT lumped models, which cannot accurately describe the local characteristics of fuel cells. One-dimensional or even higher dimensional SOFC models can be introduced into SOFC/GT modeling to further improve modeling accuracy.