Abstract: Fast reactor plays an important role in the sustainable development of nuclear energy, and it is a key reactor type that be committed to develop all over the world. The reactor physics calculation is the basis of fast reactor core design, and the research of related methods and the development of corresponding computing codes are very important in the R&D of fast reactor theory and numerical simulation technology. In this paper, the developments of reactor physics analysis methods for the fast reactors, especially the developments in the past 20 years are reviewed. By reviewing the dedicated and general computing codes developed at home and abroad for the fast reactors, the progress of fast reactor physics analysis theory is introduced. Inside, the consistency among different methods and the trend of the developments in recent years are discussed. Furthermore, the suggestions for the development of fast reactor physics analysis methods and for the progress of independent software development in our country are provide.