This invention is to provide a fine dispersion composition of wax which is stable in wide temperature range and is favorable in safety such as skin irritation, and is to provide a hair cosmetic preparation which is excellent in hair dressing power and has less stickiness and can give smoothness and easiness of combing to a hair, and to provide a glazing agent. A fine dispersion composition and a hair cosmetic preparation and a glazing agent comprising the same which comprises amphoteric surfactant and/or semi-polar surfactant, nonionic surfactant and wax, a hair cosmetic preparation which comprises said fine dispersion composition of wax and one or more of a specific effective ingredient, and a glazing agent which comprises said fine dispersion composition of wax.