A contact device includes a first contact housing extending along a longitudinal axis and a shielding-spring unit electrically and mechanically connected to the first contact housing. The shielding-spring unit contacts an electrically conductive housing of a system. The shielding-spring unit has a first shielding spring and a second shielding spring arranged in a rotated manner relative to the first shielding spring in a circumferential direction around the longitudinal axis. The first shielding spring and the second shielding spring engage one another and lie against one another in an axial direction.