The invention relates to a device for controlling the temperature of a motor vehicle battery module, comprising a heat exchanger (3) and a bundle of heat pipes (5) having at least one surface for making thermal contact with a battery of the motor vehicle and moreover with the heat exchanger (3). Said heat exchanger comprises at least one inner wall, making contact with said heat pipe surface, and at least one outer wall defining, with said inner wall, a space wherein a heat-transport fluid may flow. Said heat exchanger also comprises at least one input nozzle (20) and at least one output nozzle (21) for said fluid to flow therethrough. Said temperature control device is characterized in that said inner and outer walls are made of an aluminum or aluminum alloy sheet by a cold-forming operation and are assembled to one another by crimping, such as to form said fluid flow space.