Abstract: An apparatus for reliably engaging and supporting a motor vehicle frame for use in vehicle frame and body straightening. The illustrated apparatus includes a plurality of frame engaging clamping heads which each comprise a pair of relatively movable jaw supports, biasing springs interposed between the supports for biasing the supports in a jaw opening position, clamping bolts extending through said supports for selectively moving the jaw supports into clamping position against the biasing force of the interposed springs, and clamping jaws carried by said supports with a floating mounting that permits limited pivotal jaw movement relative to the supports during clamping for enhancing reliable engagement of the jaws with a vehicle frame regardless of surface irregularities.