A double-sided cutting insert for milling, in particular for face milling, having: a top side; an underside; a circumferential side surface; a first cutting edge which is formed at a transition from the top side to the circumferential side surface; a second cutting edge which is formed at a transition from the underside to the circumferential side surface; an axis of symmetry with respect to which the cutting insert has n-fold rotational symmetry; and a reference plane which extends perpendicularly to the axis of symmetry and divides the cutting insert into two halves; wherein the first cutting edge and the second cutting edge each have: alternately arranged main lips and secondary lips which each extend between active cutting corners and passive cutting corners, wherein: the circumferential side surface has, immediately adjacent to the secondary lips, planar secondary flanks extending in each case along the entire secondary lip, characterized in that each main lip, starting from a first distance from the reference plane at an active cutting corner, extends in a manner dropping monotonously to a smaller, second distance from the reference plane at a passive cutting corner; and that end of a secondary lip that adjoins the active cutting corner is in each case at a greater distance from the reference plane than that end of the secondary lip that is remote from the active cutting corner; wherein each secondary lip is formed at least regionally in a convex manner in plan view of the associated secondary flank. a top side; an underside; a circumferential side surface; a first cutting edge which is formed at a transition from the top side to the circumferential side surface; a second cutting edge which is formed at a transition from the underside to the circumferential side surface; an axis of symmetry with respect to which the cutting insert has n-fold rotational symmetry; and a reference plane which extends perpendicularly to the axis of symmetry and divides the cutting insert into two halves; wherein the first cutting edge and the second cutting edge each have: alternately arranged main lips and secondary lips which each extend between active cutting corners and passive cutting corners, wherein: the circumferential side surface has, immediately adjacent to the secondary lips, planar secondary flanks extending in each case along the entire secondary lip, alternately arranged main lips and secondary lips which each extend between active cutting corners and passive cutting corners, wherein: the circumferential side surface has, immediately adjacent to the secondary lips, planar secondary flanks extending in each case along the entire secondary lip, the circumferential side surface has, immediately adjacent to the secondary lips, planar secondary flanks extending in each case along the entire secondary lip, characterized in that each main lip, starting from a first distance from the reference plane at an active cutting corner, extends in a manner dropping monotonously to a smaller, second distance from the reference plane at a passive cutting corner; and that end of a secondary lip that adjoins the active cutting corner is in each case at a greater distance from the reference plane than that end of the secondary lip that is remote from the active cutting corner; each main lip, starting from a first distance from the reference plane at an active cutting corner, extends in a manner dropping monotonously to a smaller, second distance from the reference plane at a passive cutting corner; and that end of a secondary lip that adjoins the active cutting corner is in each case at a greater distance from the reference plane than that end of the secondary lip that is remote from the active cutting corner; wherein each secondary lip is formed at least regionally in a convex manner in plan view of the associated secondary flank.