There is provided a cleansing composition for skin or hair which can provide a good durability of foam and 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.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,可提高沖洗時之梳理性且賦予柔軟度,另外對於皮膚,可賦予不黏膩而清爽之使用感。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)除內烯烴磺酸鹽(A)及具有2個以上羧酸基之陰離子性界面活性劑以外的不含硫酸基之陰離子性界面活性劑。