A tire vulcanizing apparatus and a tire vulcanizing method, by which the pressure and temperature of a heating and pressurizing medium to be supplied to the internal space of a raw tire can be controlled without the condition of pressure being affected by the condition of temperature. The tire vulcanizing apparatus has: a medium path, connected to an internal space of a raw tire, for passing a heating and pressurizing medium; a pressure sensor, provided in the medium path, for measuring a pressure of the heating and pressurizing medium; a pressure control valve for controlling a pressure of the heating and pressurizing medium passing through the medium path on the basis of a signal from the pressure sensor; a temperature sensor, provided in the medium path, for measuring a temperature of the heating and pressurizing medium; and a heating unit for controlling the temperature of the heating and pressurizing medium passing through the medium path on the basis of a signal from the temperature sensor, wherein the pressure control valve and the heating unit control the pressure and temperature of the heating and pressurizing medium supplied from the medium path to the internal space of the raw tire respectively and independently.