Abstract: A multi-spindle, biaxial turning machine having means for independent tool offset in either of the axes of tool movement. The turning machine includes a slide assembly comprising a compound slide movable in a first direction with respect to the spindle axes of rotation, a cross slide mounted in sliding relation on the compound slide and movable in a direction transverse to the spindle axes of rotation, and first and second auxiliary slides, each of the auxiliary slides mounted in sliding relation to the cross slide and carrying respective first and second tool holders movable in mutually transverse directions. The compound slide, cross slide, and auxiliary slides each have associated with them drive means, which in the preferred form include a servo-drive motor and associated ball screw drive. A motion sensor is associated with each of the drive means.