Problem to be solved: to provide a hair washing composition having a desired effect in the course of foaming, bubbling, and hair rinsing while being made mainly of a fatty acid salt, and for preventing the hair from being rinsed, and then at low temperature stability.Liquid cleaning composition for hair having the following structure: (a) contains fatty acid alkali metal salt of 8 to 22 carbon atomsIts content is 4.5 to 9% by mass(b) polyglycerol monoalkyl etherContains at least one selected from the group consisting of polyglycerol fatty acid ester and polyoxyethylene alkyl etherIts content is from 0.3 to 10% by mass(c) amidobetaine type amphoteric surfactantContains at least one species selected from the group consisting of an alkyl betaine type amphoteric surfactant and an amidoamine oxide type amphoteric surfactantIts content is 4.5 to 8% by mass(d) contains an amphoteric polymer which is a polyquonium compound.Its content is from 0.2 to 0.75% by mass.No selection【課題】高級脂肪酸塩を主体としながら泡立ち、泡もち、髪をすすぐ際の指通り、すすぎ後のぬるつき、低温安定性の点で所望の効果を備える頭髪用洗浄組成物を提供する。【解決手段】次の構成を有する頭髪用液体洗浄組成物:(A)炭素数8~22の脂肪酸アルカリ金属塩を含有し、その含有量が4.5~9質量%、(B)ポリグリセリンモノアルキルエーテル、ポリグリセリン脂肪酸エステル及びポリオキシエチレンアルキルエーテルからなる群より選択される少なくとも1種を含有し、その含有量が0.3~10質量%、(C)アミドベタイン型両性界面活性剤、アルキルベタイン型両性界面活性剤及びアミドアミンオキシド型両性界面活性剤からなる群より選択される少なくとも1種を含有し、その含有量が4.5~8質量%、(D)ポリクオタニウム化合物である両性ポリマーを含有し、その含有量が0.2~0.75質量%。【選択図】なし