Abstract: In a process for deburring edges on an object, for example the cutting edges (14) of a cutting tool (12), a fluid guided under high pressure through at least one nozzle (26) in the form of at least one fluid jet (28) is directed onto the edges with a speed sufficiently high to separate the burrs. A device for deburring the edges (14) of an object (12) with an axis of rotation (z) has a clamping means (16) for temporary clamping of the object (12) to be deburred and at least one fluid-carrying nozzle (26) arranged transverse to the axis of rotation (z) and aimed at the object (12), where the nozzles (26) and/or the clamping means (16) are designed to perform a rotational movement about the axis of rotation (z). Deburring is carried out carefully and without damaging or rounding the edges.