An apparatus for mounting a brake control element to a bicycle hub brake comprises a rotating member structured to be rotatably mounted relative to a fastening bracket so that rotation of the rotating member actuates a brake mechanism, wherein the rotating member includes a brake control element mount. The rotating member also has a cable winding surface to wind a brake actuating cable thereon. A brake control element attachment unit is structured to be attached to the brake control element mount, wherein the brake control element mount includes a locking structure such that rotation of the brake control element mount relative to the brake control element attachment unit locks the brake control element attachment unit to the brake control element mount.