A reformer exercise apparatus comprises a rectangular frame, a movable carriage mounted on the frame for supporting a user an elongated elastic member extending between the frame and the movable carriage for biasing the carriage toward the one end of the frame, and a U shaped trapeze bar assembly removably fastened to the reformer frame via outwardly open T shaped slots in each reformer frame rail. The trapeze assembly includes a support bracket assembly slidably disposed in the slot to fasten a trapeze leg to the reformer frame. the support bracket assembly permits the trapeze assembly to be folded parallel to the reformer frame for storage and transport, and rigidly fastened to the reformer frame in an upright position during use.