A clamping device 35 is provided for resolvably connecting the tool unit 10 to the tool supporter 37 with increased gripping force. The clamping device 35 includes a housing 41, a pair of locking balls 57a and 57b disposed opposite the inside of the housing, and a pair of holes 55a facing the sidewalls to guide the locking balls from the locking position to the release position. Opposite of the cylindrical canister member 39 mounted in the housing 41 and the lock ball receiving holes 20 formed in the tool unit 10, which are engageable with the tool unit 10 having the insert and supporting the insert 55. A canister member along the axis A and having opposite cam portions 64a and 64b for radially moving the locking balls 57a and 57b through the holes 55a and 55b of the canister so as to be wedge-engaged with the inclined wall 30. And a locking rod 60 reciprocating at the back of 39.;In order to increase the mechanical effect of the wedge action between the inclined walls 30 of the tool unit 10 and the locking balls 57a and 57b, the hole wall 56 of the canister member 39 is the axis A of the locking rod. It is inclined with respect to the line R extending radially from to reduce the angle between the wall of the tool unit 30 and the hole wall 56. Such an angular arrangement increases the wedge-shaped coupling force between the inclined wall 30 of the tool unit 10 and the locking balls 57a and 57b. In a preferred embodiment, the hole wall 56 is inclined at 15 ° relative to the radial line R described above, thereby increasing the gripping force of the clamping device 35 by 30%.
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