There is provided a cleansing composition for skin or hair which can provide a good rinse feel, enhance combing property of the hair during rinsing to impart softness to the hair, and impart a refreshing feeling upon application to the skin without causing stickiness.A cleansing composition for skin or hair contains the following (A) and (B):(A) an internal olefin sulfonate having 12 or more and 24 or less carbon atoms and(B) an anionic surfactant having no sulfate group except the internal olefin sulfonate (A) and an anionic surfactant having two or more carboxylic acid groups.
