The invention relates to a numerical-control 
laser fracture-control 
cutting machine. In the invention, a CNC (Computerized 
Numerical Control)-
contouring control 
machine tool is taken as a 
control unit; an auxiliary gas unit sucks back the whole friable and falling waste materials by utilizing strong 
airflow generated by a compressor with the aid of magnetic partition; and high-speed and controllable 
cut-off operation is carried out on a friable material which is easy to be broken due to heat by a 
laser beam heating mode, and during the 
cutting process, the surface temperature of the material is increased to the temperature at a 
boiling point in a high speed so as to avoid melting caused by heat conduction in the event that the material is heated by high-
power density laser beams, wherein, a part of the material is vaporized to form steam and disappears, and a part of the material is taken as a spraying object to be sucked back by the auxiliary 
airflow from the bottom of a 
cutting seam. By adopting a 
laser cutting mode, the numerical-control laser fracture-control cutting 
machine based on the auxiliary gas from the compressor has the advantages that the obtained cutting seam is fine, the obtained cutting surface is smooth, the cutting speed is fast, heat deformation is small, the contact with the surface of the material can be avoided during the cutting process, more materials can be saved, and the machine is suitable for 
machining large products. The numerical-control laser fracture-control cutting machine can be applied to 
machining sheet metals in the heavy / light industry, 
medical treatment industry and other related industries, cutting and forming rotors, stators and blades, and manufacturing various chains and components in the automobile manufacturing industry; and meanwhile the machine is also suitable for the advertisement and decoration industry, the artwork manufacturing industry and the like.