A machine tool having a machine frame and a workpiece table. It is provided that the workpiece table (5), on one of its sides (14), is held on the machine frame (2) by a holding device (4), the holding device (4) having at least two holding elements (6, 7), which are spaced apart from one another on the said side (14) of the workpiece table (5) and which are disposed at differing height positions (9, 10), such that an upper and a lower holding element (6, 7) is realized, and at least one of the holding elements (6, 7) being equipped with at least one piezo actuator (24) for altering its length and, associated therewith, influencing the position of the workpiece table.