A device is provided for electromagnetic shielding an electronic component and for dissipating heat generated by the component. The component includes a package designed to be fastened to a first face of a printed circuit, called a rear face, by a heat sink, the heat sink passing through the rear face of the printed circuit and emerging on a second face of the printed circuit, called a front face. The device includes a metal structure mounted on the front face of the printed circuit and defining an electromagnetic shielding enclosure. The metal structure having a first heat discharge opening lying approximately opposite the heat sink. The device further includes at least one thermal connector, a first end of which is fastened to the metal structure and a second end of which is fastened to the heat sink and/or to the front face of the printed circuit near the heat sink.