To provide means for improving tactile sensation of hair during application of a hair cosmetic composition, particularly a hair conditioner or a hair rinse, after washing of the hair. The present inventors have found that the object can be attained by a hair cosmetic composition containing the following ingredients (1) to (5):(1) a tertiary amine compound represented by formula (I) in an amount of 0.01 to 10 mass% with respect to the hair cosmetic composition:wherein R1 represents a C6 to C24 linear or branched alkyl group, A represents an amido or ether group, R2 represents a C2 to C4 alkylene group, or a C2 to C4 linear or branched hydroxyalkylene or hydroxyalkylenyl group, and R3 and R4, which are identical to or different from each other, each represent a hydrogen atom or a C1 to C3 linear or branched alkyl group(2) a higher alcohol and/or a higher fatty acid in an amount of 0.1 to 20 mass% with respect to the hair cosmetic composition(3) an aromatic carboxylic acid salt(4) a monobasic organic acid and(5) water.
