On certain vehicles with auto cruise control system, the attachment part that the bracket of the auto cruise control cable is secured to does not have sufficient durability against bending stress. If left unfixed, the attachment part can crack and break, and in which case, the bracket no longer secures the auto cruise control cable. If this occurs, and in the worst case, the auto cruise control cable could fall and get hung up on the accelerator cable, causing the inner wire of the auto cruise control cable to be kept pulled, which makes it impossible to decrease the engine revs.