Abstract: The invention relates to a tool holder for cutting tools in which the tool (5) by means of V-shaped upper and lower faces (6, 13) is clamped in V-shaped recesses of a support (1) and an upper clamp (8) of a carrier (4) said tool (5) and upper clamp (8) having the axis of their V-shaped faces at an angle to the other V-shaped faces such that the tool is pressed axially against an abutment (18), the clamping of the tool being close to its cutting edge (15) and the lower support (1) and the upper clamp (8) may have a thickness smaller than the width of the cutting edge (15).