The invention concerns a novel process for the production of glycerol esters of polyunsaturated fatty acids, in particular of C18:2 conjugated fatty acids, by converting the polyunsaturated fatty acids with glycerol in the presence of a mixed catalyst comprising a combination of a food grade salt of a strong base and a weak acid and a soap of an organic acid with 2-26 C-atoms, preferably 10-20 C-atoms.