The invention discloses an inward turned edge cutting machine. The inward turned edge cutting machine comprises a movable cutting device which is arranged in a pipeline and an operating and controlling device which is arranged at the outer part of the pipeline and can control the cutting device to move; the cutting device comprises supporting frames, and a cutting machine and a magnetic base which are arranged on the supporting frames; the operating and controlling device comprises a handle; and a positioning magnetic block which is in magnetic connection with the magnetic base is arranged on the handle. The inward turned edge cutting machine is convenient to operate and control, is positioned and connected through strong magnetic coupling, and can control the cutting machine to move and cut externally; the inward turned edge cutting machine cuts quickly and saves labour; and through electric cutting, and the inward turned edge cutting machine moves through external manual operation and cuts quickly.