A correcting steadying rest for holding and stabilizing a workpiece in a machine tool, the steadying rest comprising a body with a plurality of self-adapting inverted V-shaped support elements which contact the workpiece and at least one auxiliary support element to compensate for the weight of the workpiece, the correcting steadying rest further having a slider with a yoke attached to the body of the correcting steadying rest, with the yoke being capable of both rocking movement and vertical movement, and the yoke having main support elements that are hingedly attached to opposite ends of the yoke, and auxiliary support elements, which also have an inverted V-shape, and are mounted on the slider, the slider being positioned at an angle with a vertical reference line and the slider being capable of linear movement within the body of the steadying rest.