Abstract: A numerically controlled turning machine comprises a main spindle (H.sub.s) and at least two cross slides (K.sub.1,K.sub.2) each provided with a saddle (W.sub.1 and W.sub.2, respectively). Another saddle (W.sub.3) is provided at the main spindle end. The cross slide (K.sub.1) is provided in addition with a driven tail spindle (G.sub.s). The control of the machine is subdivided into a first control system which includes X-axis and Z-axis controls as well as C-axis control with positional adjustment and a second control system which does not have any C-axis control but does include X-axis and Z-axis controls.