A hair cleansing composition comprising the following components to: a sulfate surfactant represented by the following formula: R 1 -O- (C 2 H 4 O) n -SO 3 M wherein, R 1 represents a linear or branched alkyl or alkenyl group having from 10 to 18 carbon groups, n stands for 0 or a positive integer and M represents sodium or ammonium, wherein the sulfate surfactant is composed of from 30 to 45 wt.% of a sulfate exhibiting n=0, from 18 to 27 wt.% of a sulfate exhibiting n=1, from 10 to 20 wt.% of a sulfate exhibiting n=2 and the balance of sulfates exhibiting n=3 or greater, and contains the sulfates exhibiting n=0 to 2 in a total amount of 70 wt.% or greater based on the total sulfates, a hydrophobic sulfonic acid having from 6 to 18 carbon atoms or salt thereof, an organic acid selected from hydroxycarboxylic acids, dicarboxylic acids and aromatic carboxylic acids, an organic solvent selected from the following compounds to: compounds represented by the formula: wherein, R 2 represents a hydrogen atom, an alkyl group having from 1 to 6 carbon atoms or a group R 3 -Ph-R 4 - (R 3: a hydrogen atom, a methyl group or a methoxy group, R 4: a bond or a saturated or unsaturated divalent hydrocarbon group having from 1 to 3 carbon atoms, Ph: phenylene group), Y and Z each represents a hydrogen atom or a hydroxy group, p, q and r each stands for an integer of from 0 to 5, with the proviso that when p=q=0, Z represents a hydroxy group and R 2 represents neither a hydrogen atom nor a group R 3 -Ph-, N-alkylpyrrolidones having a C 1-18 alkyl group bonded to a nitrogen atom, alkylene carbonates having from 2 to 4 carbon atoms, propylene glycols having a molecular weight of from 200 to 5000, and lactones or cyclic ketones represented by the following formula, or: wherein, X represents a methylene group or an oxygen atom, R 5 and R 6 represent different substituents, and a and b stands for 0 or 1; wherein the composition has a pH at 25°C of 2 or greater but less than 6 when diluted to 20 times the weight with water. a sulfate surfactant represented by the following formula: R 1 -O- (C 2 H 4 O) n -SO 3 M wherein, R 1 represents a linear or branched alkyl or alkenyl group having from 10 to 18 carbon groups, n stands for 0 or a positive integer and M represents sodium or ammonium, wherein the sulfate surfactant is composed of from 30 to 45 wt.% of a sulfate exhibiting n=0, from 18 to 27 wt.% of a sulfate exhibiting n=1, from 10 to 20 wt.% of a sulfate exhibiting n=2 and the balance of sulfates exhibiting n=3 or greater, and contains the sulfates exhibiting n=0 to 2 in a total amount of 70 wt.% or greater based on the total sulfates, a hydrophobic sulfonic acid having from 6 to 18 carbon atoms or salt thereof, an organic acid selected from hydroxycarboxylic acids, dicarboxylic acids and aromatic carboxylic acids, an organic solvent selected from the following compounds to: compounds represented by the formula: wherein, R 2 represents a hydrogen atom, an alkyl group having from 1 to 6 carbon atoms or a group R 3 -Ph-R 4 - (R 3: a hydrogen atom, a methyl group or a methoxy group, R 4: a bond or a saturated or unsaturated divalent hydrocarbon group having from 1 to 3 carbon atoms, Ph: phenylene group), Y and Z each represents a hydrogen atom or a hydroxy group, p, q and r each stands for an integer of from 0 to 5, with the proviso that when p=q=0, Z represents a hydroxy group and R 2 represents neither a hydrogen atom nor a group R 3 -Ph-, N-alkylpyrrolidones having a C 1-18 alkyl group bonded to a nitrogen atom, alkylene carbonates having from 2 to 4 carbon atoms, propylene glycols having a molecular weight of from 200 to 5000, and lactones or cyclic ketones represented by the following formula, or: wherein, X represents a methylene group or an oxygen atom, R 5 and R 6 represent different substituents, and a and b stands for 0 or 1; wherein the composition has a pH at 25°C of 2 or greater but less than 6 when diluted to 20 times the weight with water. compounds represented by the formula: wherein, R 2 represents a hydrogen atom, an alkyl group having from 1 to 6 carbon atoms or a group R 3 -Ph-R 4 - (R 3: a hydrogen atom, a methyl group or a methoxy group, R 4: a bond or a saturated or unsaturated divalent hydrocarbon group having from 1 to 3 carbon atoms, Ph: phenylene group), Y and Z each represents a hydrogen atom or a hydroxy group, p, q and r each stands for an integer of from 0 to 5, with the proviso that when p=q=0, Z represents a hydroxy group and R 2 represents neither a hydrogen atom nor a group R 3 -Ph-, N-alkylpyrrolidones having a C 1-18 alkyl group bonded to a nitrogen atom, alkylene carbonates having from 2 to 4 carbon atoms, propylene glycols having a molecular weight of from 200 to 5000, and lactones or cyclic ketones represented by the following formula, or: wherein, X represents a methylene group or an oxygen atom, R 5 and R 6 represent different substituents, and a and b stands for 0 or 1; wherein the composition has a pH at 25°C of 2 or greater but less than 6 when diluted to 20 times the weight with water.