An apparatus for producing a pneumatic tyre has a building unit designed to form a green tyre having a pair of beads. Each of the pair of beads is defined along a respective inner circumferential edge of the green tyre. The apparatus further includes bead moulding devices to tighten each bead between two axially opposite clamping surfaces. A moulding unit of the green tyre has a moulding cavity with an inner wall substantially conforming in shape to an outer surface of a moulded tyre. The apparatus further includes devices for vulcanising the green tyre, and actuating devices for transferring the green tyre together with the bead moulding devices into the moulding cavity.