An opening-and-closing member control apparatus includes a panel drive device moving a movable panel in opening and closing directions, a panel monitoring device monitoring a position of the movable panel between fully closed and opened positions, a sunshade drive device moving a sunshade in opening and closing directions, a sunshade monitoring device monitoring a position of the sunshade between fully closed and opened positions, and a control device controlling driving of the panel drive device and the sunshade drive device on the basis of the position of the movable panel monitored by the panel monitoring device and the position of the sunshade monitored by the sunshade monitoring device, so that the position of the movable panel precedes the position of the sunshade toward the fully closed position when the movable panel and the sunshade move in the closing direction.