The invention concerns a method for straightening keratinous fibers including: (i) a step of applying on the keratinous fibers a hair straightening composition containing at least one alpha-hydroxy and/or keto acid derivative, the pH of said composition being not more than 9 (ii) a step of increasing the temperature of the keratinous fibers, using heating means, to a temperature ranging between 110 and 250° C.
