The utility model relates to a cutting machine for fastening pieces, which belongs to cutting equipment for disassembling fastening pieces of the work technical field. The utility model is characterized in that an angular orientation power part of a polishing machine is additionally provided with a cutting blade, a protective cover, a spring pull rod, a support frame, a work arm, a clamping base, a fixing chuck, etc., which are made into the fastening pieces cutting equipment with the functions of fixing, supporting, cutting and matching. The utility model solves the problems that the fastening pieces, such as rust bolts and anti-theft bolts on iron towers, rod towers, etc. are difficult to disassemble for many years. The utility model has the advantages of high cutting efficiency, time saving, labor saving, convenient operation, safety, etc.