 Carbon nanotubes, CNTs, have been widely used in a variety of applications due to their unique properties such as high strength, lightweight, and electrical conductivity. However, their low solubility in water and organic solvents has limited their use. To overcome this problem, researchers have developed methods to attach polymers to the surface of CNTs, which can improve their solubility and increase their compatibility with other materials. This review discusses the different polymer wrapping techniques, including physical adsorption, chemical vapour deposition, an electrostatic self-assembly, as well as the applications of these polymer-wrapped CNTs, such as reinforced composites, drug delivery systems, and sensors. This article was authored by Tsuohiko Fujigaya and Neotoshi Nakashima.