Thiazoleazo dyes useful for dyeing or printing textile fibers have the formula ##STR1## where R.sup.1 is hydrogen, substituted or unsubstituted C.sub.1 -.sub.6 -alkyl, halogen, substituted or unsubstituted C.sub.1 -C.sub.6 -alkoxy, substituted or unsubstituted C.sub.1 -C.sub.6 alkythio, substituted or unsubstituted phenylthio, C.sub.1 -C.sub.6 -alkylsulfonyl, substituted or unsubstituted phenylsulfonyl or C.sub.1 -C.sub.4 -alkoxycarbonyl,R.sup.2 is cyano, C.sub.1 -C.sub.4 -alkanoyl, benzoyl, C.sub.1 -C.sub.6 alkylsulfonyl, substituted or unsubstituted phenylsulfonyl or a radical of the formula --CH.dbd.T, where T is the radical of an acidic CH compound,R.sup.3 is hydrogen, substituted or unsubstituted C.sub.1 -.sub.6 -alkoxy, C.sub.1 -C.sub.4 -alkoxycarbonyl, carbamoyl or mono- or di-C.sub.1 -C.sub.4 -alkylcarbamoyl,R.sup.4 is C.sub.1 -C.sub.6 -alkyl, substituted or unsubstituted C.sub.1 -C.sub.6 -alkoxy, substituted or unsubstituted C.sub.1 -C.sub.4 -alkoxycarbonyloxy substituted or unsubstituted phenoxycarbonyloxy, substituted aminocarbonyloxy, substituted or unsubstituted C.sub.1 -C.sub.4 -alkanoyloxy, substituted or unsubstituted C.sub.1 -C.sub.4 -alkanoylamino or substituted or unsubstituted phenyl,R.sup.5 is hydrogen, substituted or unsubstituted C.sub.1 -C.sub.10 -alkyl, or substituted or unsubstituted C.sub.3 -C.sub.5 -alkenyl, andR.sup.6 and R.sup.7 are hydrogen, halogen, cyano, substituted or unsubstituted C.sub.1 -C.sub.10 -alkyl, amino or mono- or di-C.sub.1 -C.sub.4 -alkylamino.