Abstract: The present invention relates to a medical device for denervation of the renal perivascular nerves, with a catheter which comprises a flexible shaft for insertion in a patient's renal artery, wherein the shaft has an inner lumen for supplying a refrigerant and a cryoballoon arranged on the distal end of the shaft. At least one bipolar electrode is arranged on the cryoballoon to deliver an electrical pulse for stimulating the perivascular nerves. In order to guarantee ablation of the renal perivascular nerves over the entire length, the cryoballoon is embodied such that during application it touches the wall of the renal artery over a length of more than 2.5 cm in the direction of blood flow, and simultaneously ablates throughout at least 60% of its circumference and throughout a length of at least 2.5 cm.