TO PROVIDE A PROCESS AND AN APPARATUS BY MEANS OF WHICH A COMPOSITION THAT CONTAINS EPISESAMIN IN A CONCENTRATION GREATER THAN 50 WT% ON THE BASIS OF THE SUM WEIGHT OF SESAMIN AND EPISESAMIN CAN BE PRODUCED CONVENIENTLY AND AT HIGH YIELD. THERE ARE PROVIDED A PROCESS AND AN APPARATUS WHICH COMPRISE THE STEP OF APPLYING EPIMERIZATION TO SESAMIN OR A SESAMIN-CONTAINING COMPOSITION SO THAT AT LEAST PART OF THE SESAMIN IS CONVERTED TO EPISESAMIN AND THE STEP OF SELECTIVELY CRYSTALLIZING EPISESAMIN BY RECRYSTALLIZATION AND BY MEANS OF WHICH A COMPOSITION THAT CONTAINS EPISESAMIN IN A CONCENTRATION GREATER THAN 50 WT% CAN BE PRODUCED CONVENIENTLY AND AT HIGH YIELD.