A tire vulcanizing method for vulcanizing a green tire formed on an outer surface of a rigid core by putting in a vulcanizing mold together with the rigid core, the method comprising: a preheating step of preheating the rigid core accompanied by green tire using a preheating device arranged adjacent to the vulcanizing mold prior to vulcanizing; a first transferring step of transferring the preheated rigid core accompanied by green tire from the preheating device to the vulcanizing mold; a vulcanizing step of vulcanizing the green tire accompanied by preheated rigid core using the vulcanizing mold; wherein the rigid core comprises an airtight chamber therein, a supply flow passage communicating with the chamber, and an exhaust flow passage communicating with the chamber and the method further comprises a second transferring step of transferring the rigid core accompanied by vulcanized tire obtained through the vulcanizing step to a cooling device arranged adjacent to the vulcanizing mold; and a cooling step of cooling the rigid core accompani ed by vulcanized tire using the cooling device, wherein in the cooling step, firstly a connecting step is performed in which the supply flow passage of the rigid core accompanied by vulcanized tire and a supply port of the cooling device and at the same time, the exhaust flow passage of the rigid core accompanied by the vulcanized tire and an exhaust port of the cooling device are connected, thereafter a low-temperature fluid supplying step of supplying low-temperature fluid into the chamber is performed, wherein in the low - temperature fluid supplying step, the low-temperature fluid is supplied in the supply flow passage and the low-temperature fluid of the chamber is recovered via the exhaust flow passage, the low-temperature fluid is liquid water; and the cooling step further includes after the low - temperature fluid supplying step a step of discharging the liquid in the chamber by circulating high-pressure air in the chamber after the low-temperature fluid supplying step, the step of discharging the liquid in the chamber is performed in a state that the supply flow passage is connected to the supply port and that the exhaust flow passage is connected to the exhaust port, in the step of discharging the liquid in the chamber, firstly, a branching means changes from supply and recovery of low-temperature fluid by Auxiliary Request low-temperature fluid supplying equipment to supply and recovery of high-pressure air by high-pressure air supplying equipment. a preheating step of preheating the rigid core accompanied by green tire using a preheating device arranged adjacent to the vulcanizing mold prior to vulcanizing; a first transferring step of transferring the preheated rigid core accompanied by green tire from the preheating device to the vulcanizing mold; a vulcanizing step of vulcanizing the green tire accompanied by preheated rigid core using the vulcanizing mold; wherein the rigid core comprises an airtight chamber therein, a supply flow passage communicating with the chamber, and an exhaust flow passage communicating with the chamber and the method further comprises a second transferring step of transferring the rigid core accompanied by vulcanized tire obtained through the vulcanizing step to a cooling device arranged adjacent to the vulcanizing mold; and a cooling step of cooling the rigid core accompani ed by vulcanized tire using the cooling device, wherein in the cooling step, firstly a connecting step is performed in which the supply flow passage of the rigid core accompanied by vulcanized tire and a supply port of the cooling device and at the same time, the exhaust flow passage of the rigid core accompanied by the vulcanized tire and an exhaust port of the cooling device are connected, thereafter a low-temperature fluid supplying step of supplying low-temperature fluid into the chamber is performed, wherein in the low - temperature fluid supplying step, the low-temperature fluid is supplied in the supply flow passage and the low-temperature fluid of the chamber is recovered via the exhaust flow passage, the low-temperature fluid is liquid water; and the cooling step further includes after the low - temperature fluid supplying step a step of discharging the liquid in the chamber by circulating high-pressure air in the chamber after the low-temperature fluid supplying step, the step of discharging the liquid in the chamber is performed in a state that the supply flow passage is connected to the supply port and that the exhaust flow passage is connected to the exhaust port, in the step of discharging the liquid in the chamber, firstly, a branching means changes from supply and recovery of low-temperature fluid by Auxiliary Request low-temperature fluid supplying equipment to supply and recovery of high-pressure air by high-pressure air supplying equipment.