A housing for radiation-emitting or radiation-receiving optoelectronic components such as LEDs and a method for producing the housing are provided. The housing has a base part and a head part that are joined by a glass layer. The top face of the base part defines an assembly region for an optoelectronic functional element and is also a heat sink for the optoelectronic functional element. The head part extends at least in sections over the peripheral extent of the assembly region, and above the assembly region it forms a passage area for the radiation emitted from or to be received by the optoelectronic functional element.