A bracket for wheel alignment control instruments for vehicle wheels includes a central body having a center, an outer face and an opposing parallel inner face facing a wheel; three gripping arms, the ends of which are distal to the center, have grip members and are simultaneously slidingly mounted onto the central body to slide in radial directions, driven by a first drive system and guided by first guide devices between wheel gripping or releasing positions; spacers holding the bracket, parallel to one side of the wheel, which are simultaneously movable in radial directions relative to the center through adjustable abutment positions, the spacers being slidingly mounted onto the central body to slide independent of the arms, driven by a second drive system independent of the first drive system and guided by the first guide devices.