Single-atom　catalysis　is　a　powerful　and　attractive　technique　with　exceptional　performance,　drastic　cost　reduction　and　notable　catalytic　activity　and　selectivity.　In　single-atom　catalysis,　supported　single-atom　catalysts　contain　isolated　individual　atoms　dispersed　on,　and/or　coordinated　with,　surface　atoms　of　appropriate　supports,　which　not　only　maximize　the　atomic　efficiency　of　metals,　but　also　provide　an　alternative　strategy　to　tune　the　activity　and　selectivity　of　catalytic　reactions.　This　review　will　highlight　the　attributes　of　single-atom　catalysis　and　summarize　the　most　recent　advancements　in　single-atom　catalysts　with　a　focus　on　the　design　of　highly　active　and　stable　single　atoms.　In　addition,　new　research　directions　and　future　trends　will　also　be　discussed.