The invention provides a tire vulcanizer having a vulcanizer body and a shaping unit and configured to be able to accurately mount a green tire in the shaping unit and shape it accurately when shaping the green tire in the shaping unit. As a result, the green tire can be placed and set accurately in a lower container of the vulcanizer body when the shaping unit is placed in a container of the vulcanizer body. In order to mount the green tire in the shaping unit (B) outside the vulcanizer body, the tire vulcanizer includes outside the vulcanizer body (A) a tire mounting device (D) which mounts the green tire in the shaping unit.