Abstract: A double-sided indexable cutting bit has the basic shape of a prism with cutting edges along a part of the intersection lines of the peripherally extending faces with the upper and lower faces and no cutting edges at another part of the intersection lines of side faces with the upper and lower faces. An indexable bit holder has a first support face for supporting an indexable cutting bit. In respect of the indexable cutting bit, in plan view on to the upper or lower face, at least a part of the side faces respectively has at least one respective concave recess that is adapted to receive a support element. In respect of the indexable bit holder, two support elements extend from oppositely disposed portions of the support face substantially perpendicularly to the first support face, which support elements define respective further second and third support faces that are perpendicular to the first support face and that face towards each other.