According to the present invention, the cycle time is reduced for a core removal step while suppressing displacement of the affixing position for the rubber member during a green-tire forming step. This rigid core has a ring-shaped core body having a tire forming surface for molding the inner surface of a pneumatic tire. The core body is formed from a plurality of core segments that are split in the circumferential direction and movable in the tire radius direction. The surface roughness (Ra) of the outer surface of the core segments forming the tire forming surface is 2.0-20.0 μm.