The invention relates to a multi-component dressing(100) for treating wounds of the human or animal body usinga reduced pressure, having a wound-covering element (4) formounting the dressing (100) at the surface of the skin andthe mucous membrane and at least one connecting site (5),which is in contact with the wound space (10) and overwhich the materials in the wound space (10) can beevacuated. The multi-component dressing hassuper-absorbing polymers, the absorbed wound secretions remainingbound to polymers in the wound space until the latter areremoved from the wound space and the polymers, due to theirbinding capacity, supporting reciprocal synergies with thesub-atmospheric pressures. Wound exudate, promoted by thereduced pressure, is also stored and controlled bypolymerized granulates.