Present invention relates to a dyeing composition for hair with improved dyeing and conditioning properties of hair. The object of the present invention an aqueous composition for dyeing hair based on at least one oxidizing agent and at least one hair dye and comprising a polyhydroxy carboxylic acid as a chelating agent. The compositions of the present invention are aqueous compositions and comprise at least 40%, more preferably 50%, most preferably 60% and in particular 70% by weight water, calculated to total of the composition.