The method for simultaneously dyeing and permanent shaping of hair includes winding hair strands onto curlers; mixing a dye component (B) containing 1 to 10 percent by weight of one or more dye compound and an amount of a keratin-reducing substance with a shaping component (A) containing from 6 to 15% by weight of the keratin-reducing substance in a weight ratio of from about 1:1 to 1:10 to form a dyeing and shaping composition, which necessarily contains from 5 to 18% by weight of the keratin-reducing substance; then allowing the hair with the dyeing and shaping composition to act on the hair for an acting time sufficient for permanent shaping; after that, allowing a fixing composition to act on the hair for 1 to 40 minutes and then subsequently rinsing the hair. The dye component (B) contains 4,5-diaminopyrazole derivatives and certain aminophenol derivatives.