Provided is a cleansing composition for skin or hair which can provide a good durability of foam and rinse feel and can enhance the combing property of hair after rinsing and the manageability after drying in application to the hair and can impart a sufficient moist feeling to skin in application to the skin. A cleansing composition for skin or hair, comprising the following (A) and (B): (A) an internal olefin sulfonate having 12 or more and 24 or less carbon atoms and (B) an oil solution having a solubility of from 0 to 1 g in 100 g of water at 20° C.