An adhesive closing part includes a support band (10) provided with hooking elements (12) disposed thereupon. A cover band (18) covers the support band (10) on the side facing away from the hooking elements (12), and is wider than the support band (10). Lateral edge zones (20) of the cover band (18) extend beyond the associated longitudinal edges of the support band (10) on both sides. At least one additional cover band is provided whose free lateral edge zones also extend beyond the associated longitudinal edges of the support band (10) such that another sealing system is created in addition to a first sealing system, resulting in an overall improvement of the sealing effect.