A ripened process cheese having the appearance and the organoleptic properties of a soft or hard or semi-hard cheese with a moldy rind, is prepared by forming a cheese block from a cheese melt, acidifying the surface of the cheese block to a pH of 4 to 5 to flocculate surface proteins and form a pre-rind, seeding the acidified surface of the cheese block with ripening molds, and ripening the thus seeded cheese block. Acidification of the surface prevents undue lipolytic and proteolytic breakdown of the cheese by action of enzymes of the molds.