This paper aims to review the research techniques and progress of color matching functions at home and abroad, and puts forward the development trend and future research directions, so as to provide some reference for further research of personalized color matching functions. Firstly, the two techniques for obtaining color matching functions are introduced. Then the factors that affect the observer's color matching functions are analyzed and summarized. The color matching functions published at home and abroad are introduced according to their classification. At last, the current challenges and future development trends of color matching function researches are summarized. Establishing a personalized color matching function is a complicated process, and it is necessary to combine disciplines such as color science, visual physiology, and psychophysics to study personalized color matching functions in depth.