To obtain a keratin fiber-dyeing composition that can develop strong (or bright) coloration and gives excellent fastness to chemical factors, for example, shampoo, a permanent hair wave treatment product or to natural factors, for example, light or perspiration.

The subject composition for the oxidation dyeing of keratin fibers comprises, in a medium that is suitable for dyeing, at least one oxidation dye, at least one mono- or poly-glycerolated fatty alcohol, and at least one specific polyol without containing a synthesized thickening polymer having glycerol and at least one fatty chain.