The invention relates to OLEDs (1) having a substrate (2), a first electrode layer (3), a layer of organic electroluminescence material (4), a second electrode layer (5), a cover layer (6), moisture-absorbing means (9) and a separating foil (10) of resilient material. According to the invention, said foil (10) is positioned between the second electrode layer (5) and the moisture-absorbing means (9). This feature results in a longer mean life-time of the OLED. Advantageously spacer structures (12) (preferably formed as dots) are applied on the separating foil (10) between the foil (10) and the cover (6). This prevents discoloring effects around the rim of the OLED material.