Reactive dye mixtures comprising one or more dyes of the general formula (I), ##STR00001## one or more dyes of the general formula (II) ##STR00002## and optionally one or more dyes of the general formula (III) ##STR00003## where D.sup.1, D.sup.2, D.sup.3, D.sup.4, D.sup.5, R.sup.0, R*, R**, T, b, f, v, and M are as defined in claim 1, the dyes of the general formulae (I)-(III) containing at least one fiber-reactive group of the formula --SO.sub.2--Z or --Z.sup.2, are prepared and used for dyeing hydroxyl- and/or carboxamido-containing fiber material.