The tire vulcanizer (1) is provided with an unloading device (20). The unloading device (20) removes a vulcanized tire (W2) that has been vulcanized in the main body of the vulcanizer and conveys same to a cooling position (P2) at which the vulcanized tire (W2) is cooled, and conveys the vulcanized tire (W2) that has been cooled at the cooling position (P2) to a discharge position (P3) for transfer to an exporting device for discharging the vulcanized tire (W2). The unloading device (20) is provided with a support section (25) capable of supporting the vulcanized tire (W2), a rotational movement section (40) for rotating the support section (25) in a plane, and a linear movement section (30) for moving the support section (25) linearly.