The method for simultaneously dyeing and permanent shaping of hair includes dividing the hair into strands an winding the strands onto curlers: mixing a hair shaping component (A) containing from 6 to 15 percent by weight of a keratin-reducing substance with a dye component (B) to form a dyeing and shaping composition prior to application on the hair; treating the hair with the dyeing and shaping composition and then allowing it to act on the hair for an acting time sufficient for the permanent shaping; after that, treating the hair with a fixing composition; allowing the fixing composition to act on the hair from 1 to 40 minutes and then subsequently rinsing the hair. The dye component (B) contains at least one oxidative coupler compound and at least one oxidative dyestuff selected from a group consisting of certain 4,5-diamino-pyrazole derivatives and certain aminophenol derivatives.