A milling insert having an upper side, an under side, a clearance face disposed between the upper and under side, and at least one cutting edge that includes two main edges, which converge toward a nose edge. The cutting edge is formed between two ground part surfaces situated on both sides of a cutting edge line, by on one hand, a primary clearance surface, which is included in the clearance face and is off-plane from a lower, secondary clearance surface, and, on the other hand, a peripheral chip surface, which is included in the upper side and situated on a higher level than a land disposed inside, and which is narrower than the primary clearance surface and has a width of at least 0.3 mm. The milling insert may advantageously be used in milling tools for gear hobbing.