The invention discloses a numerical control riveting machine. The numerical control riveting machine comprises a table used for fixing workpieces, and a riveting head which can horizontally move to rivet holes formed in the surfaces of the workpieces and conduct riveting on the rivet holes. According to the numerical control riveting machine disclosed by the invention, firstly, the to-be-machined workpieces are fixed to the surface of the table, then the riveting head moves above the table according to the positions of the rivet holes formed in the surfaces of the workpieces, the riveting head can be aligned to the rivet holes in the workpieces in sequence so as to conduct riveting on the rivet holes, and workpiece machining is completed. Compared with the prior art, according to the numerical control riveting machine disclosed by the invention, the riveting head is driven by mechanical power to automatically complete position alignment and riveting on the rivet holes, the process that the workpieces are moved or rotated manually by operating workers is not needed, the working efficiency is improved, and the labor amount of the operating workers is decreased.