Beam-to-column connections with a wedge device show linear-from-origin-type restoring force characteristics and can possess self-centering capability that reduces residual horizontal displacements of a structure acted by an earthquake force. The connection with the wedge device can be used at an outer column, but it can hardly to be applied to an inner column. This paper proposes a new idea that the wedge device can be installed the beam-to-column connection of the inner column. An experimental study on the beam-to-column connection with the wedge device of the inner column subjected to cyclic loadings was carried out. The experimental results showed that the cyclic　characteristics became linear-from-origin-type in loadings and oriented-to-origin-type in unloading.