The present invention relates to a compression arrangement (1) adapted to be arranged around a patient's forearm (9) to provide pressure to an artery puncture site (10). The compression arrangement (1) comprises, a ventral part (3), adapted to be arranged at the ventral side (12) of the forearm (9), a dorsal part (4), adapted to be arranged at the dorsal side (18) of the forearm (9), an attachment band (2), and a compression element (5) in the shape of an inflatable bladder, adapted to provide pressure to the artery puncture site (10) when the compression element (5) is inflated. The ventral part (3) comprises a compression element part (6) where the compression element (5) is arranged, and the ventral part (3) is essentially rigid and has a predetermined shape adapted to the anatomy of the forearm (9). The dorsal part (4) is at least partly adapted to be supported against the forearm (9) by a supporting part (8), the ventral part (3) and the dorsal part (4) being interconnected by a flexible part (7), such that the ventral part (3), the flexible part (7) and the dorsal part (4) generally form a U-shape being elastic and form stable, and wherein the attachment band (2) is adapted to adjust the ventral and dorsal parts (3, 4) in relation to each other.