Provided is a cleansing composition for skin or hair capable of bringing about a good rinse feel and durability of foam and, in regard to hair, imparting finger combability during rinsing as well as 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.本發明提供一種皮膚或毛髮清潔劑組合物，其帶來良好之沖洗性及泡沫之持續性，對於毛髮，可賦予沖洗時之手指梳理性，以及對沖洗時及用毛巾擦乾後之毛髮賦予柔軟性，另外，對於使用後之皮膚亦可賦予充分之滋潤感。本發明之皮膚或毛髮用清潔劑組合物係含有下述(A)及(B)：(A)碳數12以上24以下之內烯烴磺酸鹽；(B)陽離子性聚合物或兩性聚合物。
