The present invention concerns a composition for the permanent shaping of human hair based on at least one reducing agent and further comprising a first cationic polymer consisting of a copolymer of vinylpyrrolidone and vinylimidazole and a homopolymer of dimethyl diallyl ammonium chloride and a second cationicpolymer selected from urea copolymers and process for permanent shaping human hair with the said compositions.
