An ablation catheter arrangement for high-frequency ablation of tissue portions on the wall of a hollow organ or vessel in a patient, in particular for pulmonary vein isolation, Including an elongate flexible catheter body including an ablation catheter and an electrode feed line and a rinse duct in the catheter body, and also an ablation electrode and a rinse opening at a distal end of the catheter body, an advance control means for advancing or withdrawing the distal end of the ablation catheter relative to the wall of the hollow organ or vessel, and a guide path device for forcibly guiding the distal end of the ablation catheter along a curved three-dimensional movement path during advance and withdrawal.