Abstract: A clamping chuck comprising a body (1) having a front face provided with radial cuts (3), and jaw holders (4) carrying clamping jaws and sliding in said radial cuts, each side face of the jaw holders carrying at least two slideways, preferably 4 to 8, interacting with a corresponding number of slideways provided on the side faces of said radial cuts, the slideways being so flexible that all the slideways take part in the guiding of the jaw holder in spite of possible machining tolerances.