With a connecting apparatus for connecting a shielded line with a housing the line can be electrically contacted in the housing interior. The connecting apparatus comprises at least one crimp sleeve through the sleeve hollow of which at least one conductor of the line is guidably arrangeable up into the housing interior. A conductor shielding of the line can be fixed at a free end section by means of crimping relative to the crimp sleeve and is in a shielded contact with the housing. According to the invention the corresponding conductor shielding is connected with the housing in an easy manner so as to achieve a corresponding shielded contact between the housing and the conductor shielding. The conductor shielding and the housing as a whole may hence be regarded as a shielding. A good electrical and electronic freedom from interference is obtained for corresponding devices inside the housing as well as for the corresponding connecting apparatus with respect to the environment, see EMC.