In a device for cooling an electronic circuit board comprising at least one component covered with an exchanger cover, the device includes a heat sink covering all or some of the electronic circuit board, and at least one heat pipe per component, each heat pipe being capable of carrying away the heat from the component with which it is associated to at least one end of the electronic circuit board via a zone of the heat pipe called the condensing zone. The device further includes at least one heat-exchange part located on the end of the electronic circuit board and mounted freely on the heat sink, each heat pipe being attached to the heat-exchange part by means of its condensing zone.