Abstract: A clamping jaw arrangement for a broach puller assembly is described in which first and second jaw sets are engaged with the end face and one side of the annular groove of the broach tool. The second jaw set initially engages one side of the annular groove and is locked in position with an associated spring urged operating sleeve, and upon lifting of the broach tool in reaction to engagement with the workpiece, the first jaw set moves radially inward and is held against the chamfered end face of the tool to eliminate all axial play while ensuring proper seating of the jaw elements in each set.