Attachment device (2) for use in the vacuum therapy of wounds, with a conduit (4) to which a vacuum can be applied, with a large-surface vacuum-tight mounting means (6), to whose topside (9) facing away from the wound the conduit (4) is vacuum-tightly fastened, wherein the mounting means (6) can be attached to a vacuum dressing covering and tightly sealing the wound against the atmosphere, preferably using an additional adhesive film (10), wherein the conduit (4) communicates with the wound space through openings (22) in the mounting means (6) and in the vacuum dressing, wherein the conduit (4) is constituted to be flexible and flat and is connected to the mounting means (6) for the intended use non-detachably and extensively in a longitudinal section (8) on the wound side over at least 70% of its surface projected perpendicularly onto the mounting means (6), and that the conduit (4) is made out of a flexible elastomer material of Shore A hardness of no more than 60 and that the thickness (D) of the combined conduit (4) and mounting means (6) is no more than 7 mm.