A vehicle steering apparatus includes a steering input section having at least a steering wheel to which steering input is applied, and a steering output section having at least a steering rack shaft and operatively associated with left and right steered wheels for steering the steered wheels by steering-rack-shaft movement produced by a steering force determined based on the steering input and transmitted directly or indirectly to the steering rack shaft. The steering rack shaft is split into left and right movable rack shaft portions. Also provided is a steer angle converter enabling a differential rack stroke between left and right rack strokes of the left and right movable rack shaft portions. The steer angle converter is constructed by at least one of a variable-pitch dual rack arrangement and a dual taper-pulley arrangement of a cable back-up mechanism.