The supercritical carbon dioxide (S-CO 2 ) Brayton cycle is an advanced energy conversion system with many advantages including high power conversion efficiency, system compactness and high flexibility. The coupling of Liquid Metal-cooled Reactor (LMR) with the S-CO 2 Brayton cycle represents a promising direction in the development of nuclear energy systems, fully leveraging the strengths of both technologies. However, the coupled system is in the preliminary design stage. This paper carries out an integrated review of research activities about the coupled systems, with a focus on coupled sys...