Composition (I) comprises: at least 25% of fatty substance one or more oxidation bases comprising 4,5-diaminopyrazole or its addition salts with an acid one or more additional dye precursors different from the oxidation base one or more oxidizing agents and optionally one or more alkaline agents. Independent claims are included for: multi-compartment device comprising: a first compartment containing a composition comprising one or more fatty substances, a second compartment comprising 4,5-diaminopyrazole oxidation bases, one or more dye precursors and one or more alkaline agents and a third compartment comprising one or more oxidizing agents, where the third compartment contains a portion of fatty substance, 4,5-diaminopyrazole oxidation bases, fatty substance, dye precursors, oxidizing agents and alkaline agents a first compartment containing a composition comprising one or more fatty substance, and one or more oxidants and a second compartment comprising 4,5-diaminopyrazole oxidation bases, the dye precursors and alkaline agents, or 4,5-diaminopyrazole oxidation bases, fatty substance, dye precursor, oxidizing agent and/or alkaline agent or a first compartment containing a composition comprising one or more fatty substance, 4,5-diaminopyrazole oxidation bases, additional dye precursors and alkaline agent and a second compartment containing one or more oxidizing agents, 4,5-diaminopyrazole oxidation bases, fatty substance, dye precursor, oxidizing agent and alkaline agent.La présente invention a pour objet une composition pour la teinture doxydation des fibres kératiniques, et en particulier des fibres kératiniques humaines telles que les cheveux, comprenant,A) au moins 25 % de corps gras,B) une ou plusieurs bases doxydation choisie parmi les 4,5-diaminopyrazoles et les sels daddition avec un acide,C) un ou plusieurs précurseurs de colorant additionnels différents de la base doxydation définie sous B),D) un ou plusieurs agents oxydants et éventuellementE) un ou plu
