A sealing device (1) for a stem (12) of a valve (10) comprising a metal gasket (4) for the valve (10) stem (12), shaped as a half “U” provided with a single sealing lip (44), which has a radially inner surface (442) and a radially outer surface (444), inclined along the radially inner direction, a wedge metal ring (6) positioned inside the half “U” of the metal gasket (4), an elastic element (7) configured to cooperate with said wedge metal ring (6), the elastic element providing the wedge metal ring with an elastic load and a static sealing ring (8). The elastic element (7) is configured for applying a force to the wedge metal ring (6) such that said wedge metal ring (6) applies a contact pressure to the sole sealing lip (44) of the metal gasket (4) shaped as a half “U”.