Abstract: An accelerator combination is provided for the cross-linking of powder paints containing an acrylic resin containing carboxyl groups and an epoxy resin at elevated temperatures, said accelerator containing, based on the weight of said acrylic resin:(a) 0.05 to 3.0% by weight of at least one compound of the formula LiX, in which X signifies a hydroxyl ion, the anion of hydrochloric acid, hydrobromic acid, or of a saturated or unsaturated aliphatic or aromatic carboxylic acid; and(b) 0.5 to 5.0% by weight of at least one quaternary ammonium compound of the formula ##STR1## in which R.sub.1 signifies a saturated aliphatic radical, R.sub.2, R.sub.3 and R.sub.4 signify the same or different saturated aliphatic radicals, aryl radicals or aralkyl radicals, wherein two of the radicals R.sub.2 to R.sub.4 may be replaced by a group which together with the nitrogen atom forms a saturated heterocylic ring, or all radicals R.sub.2 to R.sub.