The invention provides a cutting machine capable of controlling fracture by electrically controlled lasers. A control unit adopts alternating current to load electricity to realize the connection, identification and control functions of loaded electric appliances, and adopts intense magnetic fields to absorb integrally-fallen fragile waste materials, so that fragile materials which are easily destroyed through heating can be cut off fast and controllably by heating of laser beams; under the condition of heating of high-power intensity laser beams, the speed that a material surface temperature rises to a boiling temperature is fast, which is enough to avoid melt caused by heat conduction; a part of materials is vaporized into steam and disappears, and a part of materials is sucked back by auxiliary airflows from the bottom of a cutting slot as ejecta; the slot cut by the lasers is thin, the cutting surface is smooth, the cutting speed is fast, the thermal deformation is small, the laser cutting is in no contact with the material surface, the cutting machine is suitable for processing bulky commodities and the materials are saved, moreover, the cutting machine can be applied to sheet-metal processing of relevant industries such as heavy and light industries, medical industries and the like, cutting and shaping of rotators, stators and blades, manufacturing of various chains and parts of vehicular manufacturing industry, advertisement decoration and handicraft article manufacturing industries, etc.