In a boring tool for making borings in solid metal material of workpieces, at least one cutting bit is interchangeably arranged in a recess, at the end of the borer shank. The polygonal cutting bit has a plurality of cutting edges of equal length, of which two are in engagement with the workpiece at each time. For the purposes of improved centering of the borer, these two operative cutting edges each form approximately the same angle to a line parallel to the borer axis. A plurality of cutting bits at different radial distances may also be arranged in the boring tool, with two cutting edges of each cutting bit being in engagement with the workpiece and the working regions of the cutting edges of adjacent cutting bits each overlapping somewhat.