A milling tool has single sided and indexable milling inserts having a round basic shape. Each milling insert has a plurality of tangentially spaced-apart and alternately usable cutting edges, which individually fall archedly from a first end, situated closest to an upper reference plane, to a lowest point, from which it again rises toward a second end. A reinforcing chamfer surface included in the cutting edge is formed with an increasing width in a direction from the first end of the cutting edge toward the second end.