A milling tool for chamfering flank edges of internal or external teeth on a cylindrical toothed workpiece at at least one of two opposite end faces (9a, 9b) of the workpiece, the milling tool comprising: - a tool body, which at a rear end has a rear part configured for attachment to a machine in order to allow the tool body to be rotated by the machine about an axis of rotation of the tool body, wherein the tool body comprises a cutting part located in front of the rear part as seen in an axial direction of the tool body; and - at least one cutting insert (20, 20') mounted to the cutting part, characterized in: - that said at least one cutting insert (20, 20') is provided with at least a first cutting edge and a second cutting edge extending in a common extension plane, which is parallel to a longitudinal plane that contains the axis of rotation, wherein the first cutting edge and the second cutting edge are located opposite each other on opposite sides of a radial plane that contains the axis of rotation and is perpendicular to said longitudinal plane, and wherein: • the first cutting edge has a rear end and an opposite front end, the rear end of the first cutting edge being located closer to the rear part of the tool body than the front end of the first cutting edge, wherein the front end of the first cutting edge is located closer to said radial plane than the rear end of the first cutting edge and the distance between the first cutting edge and said radial plane is gradually increasing as seen in a direction along the first cutting edge from the front end thereof to the rear end thereof, and • the second cutting edge has a rear end and an opposite front end, the rear end of the second cutting edge being located closer to the rear part of the tool body than the front end of the second cutting edge, wherein the front end of the second cutting edge is located closer to said radial plane than the rear end of the second cutting edge and the distance between the second cutting edge and said radial plane is gradually increasing as seen in a direction along the second cutting edge from the front end thereof to the rear end thereof; and - that said at least one cutting insert (20, 20') has a rake face with one or more rake surfaces for the first and second cutting edges (21, 22), wherein this rake face faces radially outward away from the axis of rotation. - a tool body, which at a rear end has a rear part configured for attachment to a machine in order to allow the tool body to be rotated by the machine about an axis of rotation of the tool body, wherein the tool body comprises a cutting part located in front of the rear part as seen in an axial direction of the tool body; and - at least one cutting insert (20, 20') mounted to the cutting part, - that said at least one cutting insert (20, 20') is provided with at least a first cutting edge and a second cutting edge extending in a common extension plane, which is parallel to a longitudinal plane that contains the axis of rotation, wherein the first cutting edge and the second cutting edge are located opposite each other on opposite sides of a radial plane that contains the axis of rotation and is perpendicular to said longitudinal plane, and wherein: • the first cutting edge has a rear end and an opposite front end, the rear end of the first cutting edge being located closer to the rear part of the tool body than the front end of the first cutting edge, wherein the front end of the first cutting edge is located closer to said radial plane than the rear end of the first cutting edge and the distance between the first cutting edge and said radial plane is gradually increasing as seen in a direction along the first cutting edge from the front end thereof to the rear end thereof, and • the second cutting edge has a rear end and an opposite front end, the rear end of the second cutting edge being located closer to the rear part of the tool body than the front end of the second cutting edge, wherein the front end of the second cutting edge is located closer to said radial plane than the rear end of the second cutting edge and the distance between the second cutting edge and said radial plane is gradually increasing as seen in a direction along the second cutting edge from the front end thereof to the rear end thereof; and • the first cutting edge has a rear end and an opposite front end, the rear end of the first cutting edge being located closer to the rear part of the tool body than the front end of the first cutting edge, wherein the front end of the first cutting edge is located closer to said radial plane than the rear end of the first cutting edge and the distance between the first cutting edge and said radial plane is gradually increasing as seen in a direction along the first cutting edge from the front end thereof to the rear end thereof, and • the second cutting edge has a rear end and an opposite front end, the rear end of the second cutting edge being located closer to the rear part of the tool body than the front end of the second cutting edge, wherein the front end of the second cutting edge is located closer to said radial plane than the rear end of the second cutting edge and the distance between the second cutting edge and said radial plane is gradually increasing as seen in a direction along the second cutting edge from the front end thereof to the rear end thereof; and - that said at least one cutting insert (20, 20') has a rake face with one or more rake surfaces for the first and second cutting edges (21, 22), wherein this rake face faces radially outward away from the axis of rotation.