After - shampoos for the cleaning of hair, containing - added to the total weight of the composition - a) 0,10 to 30% by weight of at least one amphoteric surfactant, b) 0,10 to 15% by weight of at least one cationic surfactant of the type of the quaternary ammonium compounds, c) 0,01 to 15% by weight of at least one compound of modified starch of a hydrophobic and d) 0,01 to 2,00% by weight of at least one of the protein hydrolysate, characterized by an excellent cleaning action and a conditioning. The hair treated with the following - shampoos for the cleaning of hair continue to have their freshness and their force, even after a repeated application. There is no phenomenon of increasing the weight of the hair (lack of effect of built up -). In addition, the hair treated have the properties of the spreading and rinsing higher than in the case of compositions for conditioning the hair, traditional.