Anthraquinone compounds of the formula, ##STR1## wherein R is hydrogen, alkyl or the like, R.sub.1 and R.sub.2 are each hydrogen, halogen or sulfo, l is 1 or 2, X is sulfo or the like or --V--A--(W).sub.m --Z, and Y is --V.sub.1 --A.sub.1 --U, wherein V and V.sub.1 are each --O-- or --S--, A and A.sub.1 are each a divalent group such as ##STR2## W is --NH-- or the like, Z is hydrogen or a fiber reactive group, and U is hydrogen, a fiber reactive group or a fiber reactive group-containing group, provided that at least one of Z and U is or has a fiber reactive group, which is useful for dyeing or printing fiber materials such as cotton to give a dyed or printed product having excellent fastness properties, particularly those such as light fastness and perspiration-light fastness.