a tool holder main part, the tool holder main part having a fitting portion at one end; the tool holder main part having a screw hole on a bottom of the fitting portion; the tool holder main part having a tool holding portion; the tool holding portion being adjacent to a front edge of the fitting portion and lower than the fitting portion so that the fitting portion has a propping portion adjacent to the tool holding portion; the tool holding portion having a connecting hole on a bottom thereof;

an angular pressing member having a through hole on a rear portion thereof, and a recessed holding portion formed in a lower side of a front portion of the annular pressing member; the recessed holding portion having a clearance hole formed in an upper wall thereof adjacent a rear end thereof, the rear end of the recessed holding portion being proximate to the through hole of the angular pressing member; the angular pressing member further having a protruding portion formed in the upper wall of the recessed holding portion and extending between a front end thereof and the clearance hole;

a tool, the tool having a connecting hole formed therethrough; the tool having a plurality of tips for machining work pieces; and

a pad, the pad having a hole formed therethrough; the pad being positioned on and fixed to the tool holding portion of the tool holder main part by means of a threaded fixing element, which has threads on a lower portion, and which is passed through the hole of the pad and the connecting hole of the tool holding portion; the tool being positioned on the pad and fixed to the tool holding portion with said threaded fixing element being passed through the connecting hole of the tool;

the tool being close to the propping portion of the fitting portion of the tool holder main part at an edge thereof;

the angular pressing member being secured on the fitting portion of the tool holder main part such that the recessed holding portion fits over a rear portion of the tool with the protruding portion being pressed against an upper side of the tool, and an edge of the tool being in close proximity to a side edge of the recessed holding portion, and a rear one of the tips of the tool being disposed under the clearance hole of the recessed holding portion of the angular pressing member; the angular pressing member being secured to the fitting portion of the tool holder main part by means of a threaded fixing element passed through the through hole thereof and threadedly engaged with the screw hole of the tool holder main part.