An antenna connecting structure includes a shielded cable including: a core wire; an inner sheath covering the core wire; a shielding member covering the inner sheath; and an outer sheath covering the shielding member, wherein one end of the core wire, the inner sheath and the shielding member are exposed at one end of the shielded cable in the longitudinal direction, an antenna member including: a dielectric body; and an antenna conductor which has an antenna portion molded in the dielectric body, and a terminal portion formed integrally with the antenna portion and press-clamped or press-contacted to the one end portion of the core wire, and a conductive ground terminal including: a receiving portion for holding the dielectric body so that the ground terminal does not contact the antenna conductor and the core wire; a shielding member grasping portion for grasping one end of the shielding member.