Non coloring reducing aqueous composition (A) (for the permanent deformation of hair) in a medium comprises at least a reducing agent (I) and/or their salts in combination with a base and an organic, inorganic or hybrid solid material, which forms a repetitive three-dimensional network that imprison one or more ions or metallic complexes, modified by incorporation of oxidant (transition metals) in the form of salt, oxide or ligand complexes. Non coloring reducing aqueous composition (A) (for the permanent deformation of the hair) in a medium comprises at least a reducing agent (I) of formula (H) m1X(R) nand/or their salts with a base and at least an organic, inorganic or hybrid solid material, which forms a repetitive three-dimensional network that imprison one or more ions or metallic complexes, modified by incorporation of oxidant (transition metals) in the form of salt, oxide or ligand complexes. X : P, S or SO 2 m 10-1 n : 1-3 and R : 1-20C hydrocarbon optionally interrupted by a heteroatom and optionally comprises substituents (OH, halo, amine or carboxy, ((1-30C) alkoxy)carbonyl, amido, ((1-30C) alkyl)amino carbonyl, ((1-30C)acyl) amino, mono or di((1-30C)alkyl)amino or mono or dihydroxy((1-30C)alkyl)amino). Independent claims are included for: (1) permanent deformation of the hair comprising application of (A) on the hair to reduce the disulfide bonds of keratin and fixation by oxidation to reform the bonds by applying an oxidizing composition on the hair or by contacting the hair with oxygen in air and (2) kit for the permanent deformation of the hair comprising (A) in a first compartment and an oxidizing composition in a second compartment.Linvention concerne une composition aqueuse réductrice, pour le premier temps dune opération de déformation permanente des cheveux, comprenant, dans un milieu cosmétiquement acceptable :(i) au moins un agent réducteur, et(ii) au moins un matériau modifié par incorporation dau moins une espèce oxydante choisie parmi les mé