A grinding machine has a machine bed, a first spool and a second spool mounted on the machine bed. The spools are capable of storing stock to be ground and are rotatable in a coordinated manner. A grinding wheel is mounted on the machine bed. The first spool is capable of continuously unwrapping the stock, the second spool is capable of continuously wrapping the stock and the grinding wheel is adapted to grind the stock during its travel between the first spool and the second spool. The grinding machine can be used to continuously grinding a slender stock. The stock is continuously unwrapped from the first spool and continuously wrapped on the second spool. The stock is ground during its travel from first spool to the second spool.