A high-frequency application device for vascular use, in particular for application of high-frequency (HF) energy to the renal arterial wall, including: a catheter (1) with a lumen (4) passing through it in the longitudinal direction a self-expanding stent-like support (6) guided in the lumen (4) and an HF applicator (9) arranged on the support (6) for delivering HF energy to bodily tissue, wherein the HF applicator (9), as a multipole arrangement, has a plurality of HF contact elements (14) distributed axially and peripherally over the support (6), which are insulated from the support (6) and are connectable to an HF source (10) for simultaneous or sequential delivery of HF energy to different positions of the bodily tissue.