1. A control apparatus for a vehicle mirror switchable to and from a dazzle-free condition comprising: rear light detecting means for detecting intensity of light incident from the rear of said vehicle; means for determining intensity of light exterior of said vehicle; driving means for driving said mirror into a dazzle-free condition when the detected intensities of the rear light and the exterior light are above and below predetermined intensities, respectively; and means for delaying the driving operation of said driving means for a predetermined interval of time in response to the detected intensity of the exterior light being reduced below the predetermined intensity but not delaying the driving operation of said driving means when the intensity of exterior light is increasing.