Method for Conditioning Hair, by applying a CONDITIONING SHAMPOO composition,Where hair is Hair treated with oxidizing agents and where the CONDITIONING SHAMPOO composition comprising: (i) an aqueous Continuous phase.That includes a Surfactant cleaning, (ii) a dispersed Phase, which includes Tiny drops of a non-volatile Silicone oil emulsion, which have an average diameter of drop (d u2083, u2082) of 1 Micrometer or less, and (iii) a Conditioning Agent, Oily Liquid,Solubilized to the skin and / or Hair Conditioning agent； wherein the Oily Liquid is Soluble in Worm like Micelles in the aqueous Continuous phase.By incorporating at least one inorganic electrolyte and at least one Molecule linking, which is selected among compounds of the General formula: R (X) u2099,In which R is an aryl Ring that is between 6 and 10 carbon Atoms or an alkyl chain or hidroxialquil mono -, di - and Tri ValentIt has between 3 and 14 carbon ATOMS, N varies between 1 and 3, and x are each independently selected from - Oh and - COOH groups, coo u207bm u207a, where M is an alkali metal cation.AMMONIUM or alcanolamonio； and where the level of Conditioning Agent, Oily Liquid, soluble IN CONDITIONING SHAMPOO composition varies between 0.45 and 3% by weight,On the basis of the total weight of the composition Conditioning Shampoo.Método para acondicionar el cabello, mediante la aplicación de una composición acondicionadora para champú, donde el cabello es cabello tratado con agentes oxidantes y donde la composición acondicionadora para champú comprende lo siguiente: (i) una fase continua acuosa, que incluye un tensioactivo de limpieza, (ii) una fase dispersa, que incluye gotas minúsculas emulsionadas de una silicona no volátil, que tienen un diámetro medio de gota (D₃,₂) de 1 micrómetro o menos, y (iii) un agente acondicionador líquido oleoso, solubilizado para la piel y/o el cabello； caracterizado porque el agente acondicionador líquido oleoso se solubiliza en micelas del tipo gusano en la fas
