A softening agent which contains (a) a diester/amine adduct of the formula ##STR32## in which R.sub.1 and R.sub.2 each are alkyl or alkenyl of 12 to 22 carbon atoms, m and s each are 1 or 2 and n is 1, 2, 3 or 4, A.sub.1 and A.sub.2 each are alkylene of 2 or 3 carbon atoms or 2-nydroxy-n-propylene, X.sub.1, X.sub.2 and X.sub.3 each are hydrogen, alkyl of 1 to 4 carbon atoms, hydroxyalkyl or hydroxy-halogenalkyl of 2 to 4 carbon atoms or are a radical of the formula ##STR33## in which R.sub.3 and R.sub.4 each are alkyl or alkenyl of 12 to 22 carbon atoms and s' is 1 or 2, with the proviso that, if n is 3 or 4, the individual radicals X.sub.2 are the same or different, and Y.sub.1 is hydrogen, alkyl of 1 to 4 carbon atoms or a radical of the formula ##STR34## in which R.sub.5 and R.sub.6 each are alkyl or alkenyl of 12 to 22 carbon atoms and s" is 1 or 2, and the ratio of the diester groups to the nitrogen atoms is 1:1 and the adduct of the indicated formula is in the form of the free base, acid salt or quaternary ammonium salt;
- and (b) a quaternary ammonium salt selected from the group consisting of the formula ##STR35## and of the formula ##STR36## in which Q.sub.1 and T.sub.2 each are hydrogen, alkyl or alkenyl of at most 8 carbon atoms, Q.sub.2 is alkyl or alkenyl of at most 8 carbon atoms, Q.sub.3, T.sub.1 and T.sub.3 each are alkyl or alkenyl or alkenyl of 8 to 30 carbon atoms, Q.sub.4 is alkyl or alkenyl of at most 30 carbon atoms, and D.sub.1.sup..crclbar. and E.sub.1.sup..crclbar. each are anion which imparts water-solubility or water-dispersibility to the ammonium salts, the weight ratio of diester/amine adduct to ammonium salts being 9.5:0.5 to 1:9.