A hair dyeing process for improved and milder dyeing of hair, especially human hair. The ready-to-use dyeing composition comprises carboxylic acids in addition to dyeing agents and oxidizing agents in order to improve dyeing efficiency with less loss of natural hair properties. A process comprises applying onto hair a ready-to-use composition obtained by mixing compositions A comprising one or more hair dyes and one or more alkalising agents and having a pH of 7.5 to 12, B being an aqueous composition comprising one or more oxidising agents and having a pH of 1.5 to 5 and C comprising (i) one or more carboxylic acids or salts thereof having 3 or more carboxyl groups and (ii) one or more additional organic acids and/or salts thereof having one or two carboxyl groups. Composition C comprises (i) and (ii) at a concentration of 10 to 100% by weight. The ready-to-use composition has a pH of 8 to 11, comprises (i) and (ii) at a concentration of 1 to 10% by weight and is prepared by mixing A, B and C in a weight ratio in the range of 1:2:0.2 to 1:1:1. A kit for hair comprises compositions A, B and C.L'invention concerne un procédé de coloration des cheveux pour une coloration améliorée et plus douce des cheveux, en particulier des cheveux humains. La composition de coloration prête à l'emploi comprend des acides carboxyliques en plus des agents de coloration et des agents oxydants afin d'améliorer l'efficacité de la coloration avec une moindre perte des propriétés des cheveux naturels. Un procédé comprend l'application sur les cheveux d'une composition prête à l'emploi obtenue en mélangeant les compositions suivantes : A, comprenant un ou plusieurs colorants pour cheveux et un ou plusieurs agents alcalinisants et de pH compris entre 7,5 et 12 ; B, une composition aqueuse comprenant un ou plusieurs agents oxydants et de pH compris entre 1,5 et 5 ; et C, comprenant (i) un ou plusieurs acides carboxyliques ou sels de ceux-ci, possédant 3 groupes carboxyle ou plus, et (ii) un