Provided is a cleansing composition for skin or hair capable of bringing about a good rinse feel and, in regard to hair, imparting softness to hair during rinsing and after towel drying, and further, imparting a sufficient moist feeling also to skin after application.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) a cationic polymer or an amphoteric polymer.
