A temperature control apparatus of a vehicle according to the invention stops activating a heat pump and supplies heat exchanging liquid from an engine passage to a battery passage when a warming of the battery is requested and a temperature of the heat exchanging liquid flowing out of the engine passage is equal to or lower than a permitted upper limit temperature. On the other hand, the apparatus activates the heat pump to cool the heat exchanging liquid and supplies the cooled heat exchanging liquid from the engine passage to the battery passage when the warming of the battery is requested and the temperature of the heat exchanging liquid flowing out of the engine passage is higher than the permitted upper limit temperature.