A light-emitting device is described with a flat light-emitting element on a substrate and is encapsulated under a cover. The cover is supported by at least one support element in a central section at a distance from the edge of the light-emitting element. Further provided are indentations in the surface facing the light-emitting element, in which is a cavity containing a getter material. At the boundary, the cover is sealed to the substrate with a sealing compound.