The device comprises a first heat exchanger (22) for exchanging heat between the admission air and a heat-transfer liquid for regulating the temperature of the admission air, the heat exchanger being connected to a circuit (24) for cold heat-transfer liquid, the device further comprising a second heat exchanger (26) for exchanging heat between the admission air and a heat-transfer fluid likewise for regulating the temperature of the admission air and connected to a circuit (28) for very cold heat-transfer fluid that is colder than the heat transfer liquid of the cold heat-transfer liquid circuit (24). The cold heat-transfer liquid circuit (24) preferably comprises a heat exchanger (30) for exchanging heat between air and the cold heat-transfer liquid, e.g. carried by a front face (31) of the motor vehicle.