A cutting machining tool, especially of a boring bar type, has a holding device (10), one end of which is provided with a fixing shaft while its other end is provided with a seat (12) for a removable cutting member (16). The cutting member encompasses a support part (18) which engages at least partly into the seat (12) in the fixed state and a machining part (20). The support part (18) can be fixed in a clamping manner in the seat (12) by a fastening part (22). The seat (12) is provided with a rest area (28). The cutting member can be securely fixed in the seat across a larger fixing range by a support part due to the fact that the seat (12) includes a delivery area (30) in addition to the rest area (28). The two areas (28, 30) are movable towards or away from each other so as to fasten or remove the cutting member (16) by the fastening part (22). Secure fixing and support is achieved by three planar areas that are located on the outer circumference of the support part.