A device for grinding and deburring a flat workpiece comprise a grinding roller having an abrasive coating. A coaxial drive shaft that is connected rotation-fast to the guide roller is driven by a drive motor via a primary belt drive. The grinding roller is borne axially displaceable on the drive shaft. Via a second secondary belt drive, the drive motor drives a cam mechanism, comprising a control cylinder that is rotatably borne on the drive shaft of the grinding roller and that has a groove cam and comprising a cam slide arranged on the grinding roller. The rotating grinding roller thus performs an oscillating axial back-and-forth movement.