A hair cleansing composition containing the following components (A), (B) and (C): (A) 0.1 to 20 wt.% of an organic dicarboxylic acid which may have a hydroxy group, a hydroxycarboxylic acid, or a salt thereof; (B) 0.001 to 10 wt.% of an at least one antiphlogistics; (C) 0.5 to 60 wt.% of an anionic surfactant, wherein the composition diluted 20 times by weight with water has a pH of 1 to 5 at 25°C.