The invention relates to an OLED and its manufacture. The OLED comprises substrate (1), a first electrode layer (2), a package (3) of layers comprising organic electroluminescence material, a second electrode layer (4), a spacer layer (5) and a cover (6) being sealed to the substrate (1) via a sealing material (8). According to the invention, the cover (6) is formed as a layer of a flexible material which is permanently fixed to at least a part of the spacer layer (5). OLEDs with this feature have less moisture penetration and can be produced with less costs. Moreover, electrical contacts (11) between the cover (6) and one of the electrode layers (2, 4) are more reliable in OLEDs having this feature.