The invention relates to hair dyeing composition comprising (a) a dye of formula (1); (b) ant least one dye selected from the compounds of formulae (2); (3) and (4); wherein D is the radical of a diazo component of the formula (2a); (2b); (2c); (2d); (2f); (2g) or (2h). The invention also relates to the dyeing methods for dyeing keratinous fibers comprising such dyeing composition.