An exhaust gas temperature control apparatus adjusts the temperature of exhaust gas in a stage before an exhaust gas purification unit disposed in an exhaust pipe passage of an internal combustion engine. The exhaust gas temperature control apparatus includes a heat reservoir which can store and radiate heat, a heating member which causes the heat reservoir to store heat, and a temperature control section which controls the temperature of the exhaust gas discharged from the exhaust gas temperature control apparatus by causing the heat reservoir to store heat or radiate heat in accordance with operation state of a vehicle on which the internal combustion engine is mounted.