A method for styling hair fibers, preferably human hair fibers, comprising the following steps: (a) providing a hair styling composition comprising, in a cosmetically acceptable carrier, a film-forming polymer; wherein the hair styling composition comprises a total amount of film-forming polymer ranging from 2% to 60%, preferably from 5% to 50%, more preferably from 7% to 35%, even more preferably from 10% to 20% by total weight of the hair styling composition; wherein the film-forming polymer comprises one or more aryl-sulfonated polyester being a polycondensate of at least one dicarboxylic acid or of an ester thereof, of at least one diol and of at least one sulfoaryldicarboxylic difunctional compound substituted on the aromatic nucleus with a sulfonated group -SO 3 M in which M represents a hydrogen atom, an ammonium ion, substituted ammonium or a metal ion such as Na +, Li + or K +; and wherein the aryl-sulfonated polyester is obtained from isophthalic acid, from the sodium salt of sulfoisophthalic acid, from diethylene glycol and from 1,4-cyclohexane-methanol; or wherein the film-forming polymer comprises one or more acrylic copolymers are crosslinked acrylic copolymers obtained by polymerization from a monomer composition comprising three different monomer components, a1), b1), c1), and an optional fourth monomer component d1); wherein the first monomer component a1) is (meth)acrylic acid; wherein the second monomer b1) is selected from at least one monoethylenically unsaturated monomer containing at least one linear or branched C 1 to C 4 alkyl ester of (meth)acrylic acid, and mixtures thereof; wherein the third monomer c1) is a mixture of crosslinking monomers from at least two different polyunsaturated monomer types or classes; and wherein the optional fourth monomer d1) is a monoethylenically unsaturated monomer different from monomer components a1), b1), and c1); wherein the film-forming polymer is water-soluble or water-dispersible at 25°C; wherein the film-forming polymer has a glass transition temperature from -20°C to 100°C, preferably from -20°C to 70°C, more preferably from 0°C to 65°C; (b) applying the hair styling composition to the hair fibers; (c) heating the hair fibers comprising the hair styling composition at a temperature from 80°C to 230°C, preferably from 100°C to 220°C, more preferably from 120°C to 180°C; (d) setting the hair fibers in a hair style without subsequent rinsing; wherein the step (d) is performed subsequently after, simultaneously with or before the step (c); and (e) cooling to room temperature. (a) providing a hair styling composition comprising, in a cosmetically acceptable carrier, a film-forming polymer; wherein the hair styling composition comprises a total amount of film-forming polymer ranging from 2% to 60%, preferably from 5% to 50%, more preferably from 7% to 35%, even more preferably from 10% to 20% by total weight of the hair styling composition; wherein the film-forming polymer comprises one or more aryl-sulfonated polyester being a polycondensate of at least one dicarboxylic acid or of an ester thereof, of at least one diol and of at least one sulfoaryldicarboxylic difunctional compound substituted on the aromatic nucleus with a sulfonated group -SO 3 M in which M represents a hydrogen atom, an ammonium ion, substituted ammonium or a metal ion such as Na +, Li + or K +; and wherein the aryl-sulfonated polyester is obtained from isophthalic acid, from the sodium salt of sulfoisophthalic acid, from diethylene glycol and from 1,4-cyclohexane-methanol; or wherein the film-forming polymer comprises one or more acrylic copolymers are crosslinked acrylic copolymers obtained by polymerization from a monomer composition comprising three different monomer components, a1), b1), c1), and an optional fourth monomer component d1); wherein the first monomer component a1) is (meth)acrylic acid; wherein the second monomer b1) is selected from at least one monoethylenically unsaturated monomer containing at least one linear or branched C 1 to C 4 alkyl ester of (meth)acrylic acid, and mixtures thereof; wherein the third monomer c1) is a mixture of crosslinking monomers from at least two different polyunsaturated monomer types or classes; and wherein the optional fourth monomer d1) is a monoethylenically unsaturated monomer different from monomer components a1), b1), and c1); wherein the film-forming polymer is water-soluble or water-dispersible at 25°C; wherein the film-forming polymer has a glass transition temperature from -20°C to 100°C, preferably from -20°C to 70°C, more preferably from 0°C to 65°C; (b) applying the hair styling composition to the hair fibers; (c) heating the hair fibers comprising the hair styling composition at a temperature from 80°C to 230°C, preferably from 100°C to 220°C, more preferably from 120°C to 180°C; (d) setting the hair fibers in a hair style without subsequent rinsing; wherein the step (d) is performed subsequently after, simultaneously with or before the step (c); and (e) cooling to room temperature.