The invention discloses a multiple-cutting-edge finish machining tool. The multiple-cutting-edge finish machining tool comprises a shank and a tool bit fixedly connected to the head of the shank; thetool bit comprises a hard alloy layer made from a hard alloy, and a polycrystalline diamond layer fixedly connected to the hard alloy layer; the polycrystalline diamond layer is provided with a plurality of oblique cutting edges; each cutting edge comprises a first inclined section and a second inclined section, wherein the first inclined section extends obliquely along the outer wall of the toolbit, the second inclined section is connected to the first inclined section and retracts to the first inclined section, and a boss is formed at the joint between the second inclined section and the first inclined section; the shank is made from the hard alloy. The multiple-cutting-edge finish machining tool has the advantages that for each cutting edge, the boss formed at the joint between the corresponding second inclined section and the corresponding first inclined section can effectively remove burrs in the cutting process by the cutting edges to prevent a workpiece from breakage, and accordingly, the quality of the workpiece is ensured.