The procedure of improving the structural damping performance was proposed by inter-connecting two structures with a connecting member consisting of a spring and a damper. The modal equations of the first mode of the interconnected structure were shown using equations for the motion of a two-degrees-of-freedom (TDOF) system with two masses and three springs. And the tuning method of a connecting element in the above TDOF system to maximize the damprng performance of the system was proposed. The approximate tuning method of the connecting member for maximizing the damping performance of the structures was proposed, using the tuning method of the connecting element in the TDOF system. In numerical investigations for two towers, Ranger girder bridge connected with a simply supported girder bridge and two space frames with three stories, the usefulness of the approximate tuning method and the effectiveness of the interconnecting member were shown.