The ablation device (11) according to the invention is distinguished by a head (20) having a noncircular cross-section and by electrodes (32, 33) being positioned at an acute angle relative to each other. Due to the angular arrangement of the electrodes and the appropriate configuration of the channels (28, 29), there results an approximately fan-shaped plasma beam with which - in particular with the alternating activation of the two electrodes - a wide strip-shaped ablation region can be achieved on hollow organs of living beings. Handling is reliable and simplified, and, compared to existing measures, the treatment time is reduced. (Figure 7)
