Honing machine for carrying out honing operations on orthogonally aligned bores in a workpiece, in particular for honing of cylinder bores and a bearing race bore or cam shaft bores in a cylinder crankcase, with: a machine base; at least one machine-internal transport system arranged on the machine base comprising a rotary table that rotates around a vertical rotary table axis and comprises multiple workpiece intakes which are arranged offset from one another in the circumferential direction at a radial distance from the rotary table axis such that a workpiece inserted into a workpiece intake can be successively moved along a circular path and passed through various workstations of the honing machine via rotation of the rotary table; wherein at least one of the workstations is a vertical honing station comprising at least one vertical honing unit, which has a honing spindle designed for honing of a bore aligned along a vertical direction via a relative motion rotating around a spindle axis and translatory along the spindle axis, between the workpiece and the honing spindle, wherein the spindle axis is aligned parallel to the rotary table axis; wherein further one of the workstations is a horizontal honing station comprising at least one horizontal honing unit, which has a honing spindle designed for honing of a bore aligned along a horizontal direction via a relative motion rotating around a horizontal spindle axis and translatory along the horizontal spindle axis, between the workpiece and this honing spindle, characterized in that the honing machine comprises an actuator unit that is arranged and designed to carry out the honing in the horizontal honing station by moving the workpiece, wherein in particular the honing spindle of the horizontal honing unit is arranged immovably in the honing machine for carrying out the honing, or that the machine-internal transport system is designed such that, to carry out the honing in the horizontal honing station, the workpiece is moved away from the rotary table, and the honing is carried out outside of the rotary table, in particular wherein the workpiece is moved outside of the circular path where the rotary table moves the workpieces. a machine base; at least one machine-internal transport system arranged on the machine base comprising a rotary table that rotates around a vertical rotary table axis and comprises multiple workpiece intakes which are arranged offset from one another in the circumferential direction at a radial distance from the rotary table axis such that a workpiece inserted into a workpiece intake can be successively moved along a circular path and passed through various workstations of the honing machine via rotation of the rotary table; wherein at least one of the workstations is a vertical honing station comprising at least one vertical honing unit, which has a honing spindle designed for honing of a bore aligned along a vertical direction via a relative motion rotating around a spindle axis and translatory along the spindle axis, between the workpiece and the honing spindle, wherein the spindle axis is aligned parallel to the rotary table axis; wherein further one of the workstations is a horizontal honing station comprising at least one horizontal honing unit, which has a honing spindle designed for honing of a bore aligned along a horizontal direction via a relative motion rotating around a horizontal spindle axis and translatory along the horizontal spindle axis, between the workpiece and this honing spindle, characterized in that the honing machine comprises an actuator unit that is arranged and designed to carry out the honing in the horizontal honing station by moving the workpiece, wherein in particular the honing spindle of the horizontal honing unit is arranged immovably in the honing machine for carrying out the honing, or that the machine-internal transport system is designed such that, to carry out the honing in the horizontal honing station, the workpiece is moved away from the rotary table, and the honing is carried out outside of the rotary table, in particular wherein the workpiece is moved outside of the circular path where the rotary table moves the workpieces.