A holder for a cutting tool for processing of workpieces has a first part for holding a cutting tool (150), a second part (120) to which the first part is fastened, and a fastening element (140). An adjustment element adjusts the position of the first part in relation to the second part. The first and second parts have a first bore and a second bore for receiving the fastening element and a recess (118, 128) for receiving the adjustment element. The first part has an abutment surface (115) placed onto a contact surface (122) of the second part, such that the central axes (A-A) for the first and second bores become parallel. The abutment surface of the first part and the contact surface of the second part are inclined in relation to the feeding axis (G-G) of the work piece towards the cutting tool (150).