Abstract: The disclosed invention is a rolling conductor support for supporting a conductor between a stationary supply and a moving consumer or parts of machinery moving relative to each other. The rolling conductor support includes a plurality of chains. Each chain includes a number of follower links, lubricating members, control links, connecting pins and a planar toothed fasteners. Each follower link has three follower orifices at either end of the link and the follower orifices are substantially perpendicluar to a longitudinal axis of the follower link. The lubricating member is located between the follower link and the control link and includes lubricating orifices conformal with the follower orifices. The control link includes two arcuate control slots having a radius of curvature about a center where a control pivot orifice is located. The follower links are clevised about the lubricating members and the control links.