A cutting insert for milling comprises two major sides, two minor sides, and upper and lower sides. At least one pair of cutting edges is formed at the transition of the upper side with a major side and a minor side of the cutting insert. The upper side constitutes a chip surface, and the major and minor sides constitute clearance surfaces. Each pair of cutting edges comprises a major cutting edge extending along the major side, and a minor cutting edge extending along the minor side. The major and minor cutting edges intersect in the area of a cutting corner. The cutting corner is provided inside an imaginary extension line of a major part of the minor side. The major cutting edge slopes such that it forms an acute angle with the lower side. Each pair of cutting edges joins a first clearance surface protruding relative to a plane containing a major portion of the minor and major sides. Recesses are formed in the major sides.