[Abstract] To provide a machine tool that, in addition to sequentially separating a chip generated from a workpiece in a reliable manner, improves the roundness of the finished workpiece and improves the visual appearance and roughness of a machined surface of the workpiece, and a control apparatus of the machine tool. A machine tool (100) or a control apparatus (C) thereof includes vibration frequency setting means (C1) for setting vibration frequency of the reciprocal vibration with respect to one relative rotation when machining a workpiece (W) so that the intersections CRs of paths of a cutting tool (130) during forward movement and backward movement are dispersed on a circumferential surface of the workpiece.