Solid adsorption technology for capturing carbon dioxide has the advantages of excellent adsorption and desorption performance, portable and flexible equipment, environmental protection and low cost. It is considered to be one of the most promising technologies for capturing carbon dioxide in the flue gas of power plants. Domestic and foreign scholars have carried out a lot of research and made some progress on solid adsorption materials that can be applied to capture carbon dioxide in the flue gas of power plants. In this paper, the research status of adsorption materials such as zeolite molecular sieve, metal organic framework (MOFs) and activated carbon (ACs) in recent years is reviewed. The application advantages and problems of various adsorption materials in engineering application are summarized and analyzed. The main influencing factors and adsorption mechanism of adsorption properties of various materials are concluded. Finally, the development direction of solid adsorption materials is prospected.