The present invention relates to a hair shaping process in which: - a styling composition comprising one or more organic solvents and one or more fixing polymers is applied to hair, the fixing polymer(s) being at least partially soluble in the styling composition and being capable of precipitating on the hair when the styling composition is diluted with an aqueous composition, and then - the hair is rinsed with the aqueous composition so as to precipitate the fixing polymer on the hair.