A machine tool for the machining of rotary parts with groove-shaped profiles, in particular gears, by a generating method, comprising: a machine bed ; a Y-slide , which is linearly displaceable along a Y direction relative to the machine bed ; a workpiece spindle which is arranged on the Y slide and which is configured to clamp a workpiece thereon and to drive it to rotate about a workpiece axis (C), the workpiece axis (C) extending transversely, preferably perpendicularly, to the Y direction; and a tool spindle which is configured to clamp a generating machining tool , in particular a gear-shaped generating machining tool, on it and to drive it to rotate about a tool axis (B); and a controller which is configured to establish a positive coupling between the rotation of the generating machining tool and the rotation of the workpiece , characterized in that the machine tool further comprises: a Z slide which is arranged on the machine bed and is linearly displaceable along a Z direction relative to the machine bed , the Z direction running parallel to a center plane (E1) defined by the Y direction and the workpiece axis (C), and the Z direction extending at an angle of less than 45°, preferably parallel, to the workpiece axis (C); and an X slide arranged on the Z slide and linearly displaceable along an X direction relative to the Z slide , the X direction being perpendicular to the center plane (E1); and in that the tool spindle is arranged on the X slide and is pivotable relative to the X slide about a first swivel axis (A). a machine bed ; a Y-slide , which is linearly displaceable along a Y direction relative to the machine bed ; a workpiece spindle which is arranged on the Y slide and which is configured to clamp a workpiece thereon and to drive it to rotate about a workpiece axis (C), the workpiece axis (C) extending transversely, preferably perpendicularly, to the Y direction; and a tool spindle which is configured to clamp a generating machining tool , in particular a gear-shaped generating machining tool, on it and to drive it to rotate about a tool axis (B); and a controller which is configured to establish a positive coupling between the rotation of the generating machining tool and the rotation of the workpiece , characterized in that the machine tool further comprises: a Z slide which is arranged on the machine bed and is linearly displaceable along a Z direction relative to the machine bed , the Z direction running parallel to a center plane (E1) defined by the Y direction and the workpiece axis (C), and the Z direction extending at an angle of less than 45°, preferably parallel, to the workpiece axis (C); and an X slide arranged on the Z slide and linearly displaceable along an X direction relative to the Z slide , the X direction being perpendicular to the center plane (E1); and in that the tool spindle is arranged on the X slide and is pivotable relative to the X slide about a first swivel axis (A). a Z slide which is arranged on the machine bed and is linearly displaceable along a Z direction relative to the machine bed , the Z direction running parallel to a center plane (E1) defined by the Y direction and the workpiece axis (C), and the Z direction extending at an angle of less than 45°, preferably parallel, to the workpiece axis (C); and an X slide arranged on the Z slide and linearly displaceable along an X direction relative to the Z slide , the X direction being perpendicular to the center plane (E1); and in that the tool spindle is arranged on the X slide and is pivotable relative to the X slide about a first swivel axis (A). <EOS>