With the increase of space accidents and failed spacecraft, the orbital resources are dwindling. Now many countries in the world are developing on-orbit service and space debris removal. As one of the most critical technology, non-cooperative target capture has become a focus in the field of space research in recent years. At present, domestic and foreign institutions have conducted in-depth studies on non-cooperative targets, while various capturing methods were proposed, and great progress was made. Firstly, the non-cooperative target was classified, and then the latest situation of non-cooperative target capture technology at home and abroad was introduced with the existing capturing methods. The principle scheme is summarized, and the capturing methods and key technologies are analyzed, which will offer a perspective for future research.