Abstract: A device for continuously grinding the edges of moving metal foil comprises a stationary support on which a mobile support can slide perpendicular to the strip. The mobile support comprises a pivoting arm, the ends of which are provided with a roller for guiding the strip, lower and upper dressing rollers, an upstream tool holder, with at least one tool for dressing the edge and a downstream tool holder for chamfering the edge. The mobile support is brought into contact with the edge of the strip by the application of an adjustable pressure to the guide.