Abstract: A connector device which connects a rotatable member and a fixed member, for example, of a vehicular steering system, electrically or optically, by means of a belt-shaped transmission line coiled in a convolution. The transmission line is contained in a housing assembly which is composed of a movable housing, mounted on the rotatable-member side, and a stationary housing on the fixed-member side. A vibration restraining member is interposed between one side edge of the coiled transmission line and a flange portion of the movable and/or stationary housing. The restraining member serves to restrain the transmission line from moving crosswise, thereby preventing production of vibration and noise. Preferably, a resilient tongue, which extends along the transmission line, is fixed to an inner cylinder portion to which an inner coil-end portion of the transmission line is fixed. In such an arrangement, the transmission line is prevented from bending sigmoidally when it is loosened.