A tool for chip removing machining, including a basic body and two replaceable cutting inserts. Each insert includes a chip-removing main edge situated between a chip surface and a clearance surface, a first insert of which precedes a second insert during machining of a workpiece. The cutting inserts overlap each other in a zone defined by a borderline along which a surface generated by the main edge of the first cutting insert, with a time delay, is intersected by the main edge of the subsequent, second cutting insert. The main edge of the second cutting insert that afterwards intersects the already generated surface, is formed along a chip surface including primary and secondary sections, which have different shapes in cross-sections spaced-apart along the main edge in order to form a primary part edge and a secondary, reinforced part edge arranged to intersect the already generated surface.