The polyglycidyl compounds according to the invention can be manufactured by reacting epihalogenohydrin with compounds of the formula IV ##STR1## or the formula V ##STR2## in which (1) n denotes 2, 3 or 4, (2) A represents a 2-valent, 3-valent or 4-valent organic radical which either contains a N-heterocyclic or cycloaliphatic ring or 2 N-heterocyclic rings or 2 phenylene rings, (3) either B denotes the --CH.sub.2.O.CO-- radical and m denotes the number 1, or B denotes the radical ##STR3## and m denotes O, and (4) R.sup.1 represents a divalent radical, which contains at least one hydrantoin ring or uracil ring. During the reaction hydrogen halide splits off. From curable mixtures containing polyglycidyl compounds according to the invention and a curing agent such as hexahydrophthalic anhydride or phthalic anhydride are obtained products with good mechanical and electrical properties.