Holder for a cutting tool for the processing of workpieces, comprising: - a first part with means for holding a cutting tool; - a second part to which the first part is adapted to be fastened; - a single fastening element provided to fasten the first to the second part; - an adjustment element provided to adjust the position of the first part in relation to the second part, wherein the first part comprises a first and a second bore (116, 117) for receiving the fastening element and a third bore for receiving the adjustment element, wherein at least the second bore has a central axis (A-A), and the second part comprises a first bore for receiving the fastening element and a recess for receiving the adjustment element, wherein the first part further comprises an abutment surface adapted to be placed onto a contact surface of the second part, wherein the abutment surface for the first part and the contact surface for the second part are inclined with respect to an axis (D-D) of a shaft comprised in the second part, wherein a central height of the cutting tool is adjustable by the adjustment element being configured to define a distance between the adjustment element and the recess in the second part by turning and wherein the fastening element is configured to move the first part in the direction of the central axis (A-A) towards the second part by turning, wherein the first part can be adjusted in the direction of the inclined plane defined by the abutment surface of the first part and the contact surface of the second part, characterized in that the first part further comprises a first recess, in which a a spring loaded sphere is received, the spring loaded sphere being adapted to exert a pressure force on the first recess of the first part. - a first part with means for holding a cutting tool; - a second part to which the first part is adapted to be fastened; - a single fastening element provided to fasten the first to the second part; - an adjustment element provided to adjust the position of the first part in relation to the second part, wherein the first part comprises a first and a second bore (116, 117) for receiving the fastening element and a third bore for receiving the adjustment element, wherein at least the second bore has a central axis (A-A), and the second part comprises a first bore for receiving the fastening element and a recess for receiving the adjustment element, wherein the first part further comprises an abutment surface adapted to be placed onto a contact surface of the second part, wherein the abutment surface for the first part and the contact surface for the second part are inclined with respect to an axis (D-D) of a shaft comprised in the second part, wherein a central height of the cutting tool is adjustable by the adjustment element being configured to define a distance between the adjustment element and the recess in the second part by turning and wherein the fastening element is configured to move the first part in the direction of the central axis (A-A) towards the second part by turning, wherein the first part can be adjusted in the direction of the inclined plane defined by the abutment surface of the first part and the contact surface of the second part, wherein at least the second bore has a central axis (A-A), and the second part comprises a first bore for receiving the fastening element and a recess for receiving the adjustment element, wherein the first part further comprises an abutment surface adapted to be placed onto a contact surface of the second part, wherein the abutment surface for the first part and the contact surface for the second part are inclined with respect to an axis (D-D) of a shaft comprised in the second part, wherein a central height of the cutting tool is adjustable by the adjustment element being configured to define a distance between the adjustment element and the recess in the second part by turning and wherein the fastening element is configured to move the first part in the direction of the central axis (A-A) towards the second part by turning, wherein the first part can be adjusted in the direction of the inclined plane defined by the abutment surface of the first part and the contact surface of the second part,