A method of molding and curing a tire for a vehicle wheel includes building an unvulcanized tire on a toroidal support; heating the support; pressing an inner surface of the tire against an outer surface of the support; and pressing an outer surface of the tire against walls of a molding cavity defined in a vulcanization mold. The inner surface of the tire is pressed against the outer surface by at least one secondary working fluid. The outer surface of the tire is pressed against the walls by at least one primary working fluid. The at least one primary working fluid is heated, causing vulcanization of the tire. An apparatus for molding and curing a tire for a vehicle wheel includes the vulcanization mold, at least one passage device, a feeding device, and first and second heating devices. It may also include an airtight device arranged to receive the support.