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℃.本發明提供一種皮膚或毛髮用清潔劑組合物,其帶來良好之泡沫持續性及沖洗性,對於毛髮,可提高沖洗後之梳理性或乾燥後之整齊性,另外對於皮膚,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)相對於20℃之水100g之溶解度為0~1g之油劑。