The present invention provides an acidic hair cosmetic composition, which inter alia comprises a surfactant, an oil, an organic acid and a fragrance composition comprising the ingredients (E), (F) and (G). The fragrance composition which can mask an odor peculiar to the acidic hair cosmetic composition and is also excellent in long-term stability. By combining fragrant materials selected as desired from (E) ingredients each characterized primarily by the abundant release of a scent from foam, (F) ingredients each characterized primarily by the abundant release of a scent from a bottle mouth and (G) ingredients each characterized by good persistence of scent, an excellent fragrance composition can be obtained with a good balance among the abundant release of a scent from foam, the abundant release of a scent from a bottle mouth, and good persistence of scent.