Abstract: The invention relates to a milling device for producing cutting chamfers on knives provided with roof-shaped cutting edges, preferably Koenigsfeld knives, which milling device comprises a milling arbor; a milling tool clamped thereon, the milling tool having cutting edges which are adapted to the cutting chamfers which are to be produced on the roof-shaped cutting edges of the knives; and at least one further milling tool mounted on the milling arbor so as to be non-rotatable relative thereto but movable to a limited extent in the axial direction of the milling tool; and wherein protrusions and recesses are formed in the mutually facing sides of the two milling tools at least in the region of their cutting edges, and the protrusions on one milling tool extend into the recesses in the other milling tool for the purpose of producing alternating overlapping of the cutting edges of the milling tools.