Single-walled carbon nanotubes (SWCNTs) are a promising material for advancing the field of materials. However, controlling the controlled growth of SWCNTs by conventional chemical vapor deposition or other growth processes remains challenging. Recent studies have shown that some progress has been made in the synthesis mechanism, catalysts and growth processes of SWCNTs, which makes the controlled growth of SWCNTs possible. This paper reviews the common SWCNTs, the synthesis process, and the applications. The paper firstly discusses the differences in the structure and properties of different types of SWCNTs and the related studies on these properties. Next, the paper discusses the mechanisms, catalysts, and growth processes used to synthesize SWCNTs, from experimental characterization to simulation analysis. Subsequently, the paper describes some applications of SWCNTs in popular fields such as functionalization, transistors, electrochemistry, and so on. Finally, a brief outlook on the challenges and future development of these SWCNTs in the research field is presented.