Abstract: An attachment device for attaching insulation material to a wall or other surface comprises a flat portion (1) adapted to engage the wall (8) and to which a self-adhesive coating (2) such as a double-adhesive tape has been attached. The coating (2) has a protective film (3) on the side facing from the plate (1), said self-adhesive coating (1) being adapted, after the protective film has been stripped off, to be attached to the surface (8) to which the insulation (7) is to be attached. The attachment device is provided on the side situated opposite to the self-adhesive coating (2) with a flap (4) extending from the plate (1) and adapted to penetrate into and support the insulation (7).The plate preferably comprises a metal sheet (1, 11) and a flap (4, 12) cut out thereof and bent out from the plane of the sheet.