In the apparatus for producing glass reduction of reduction-sensitive components in the glass melt is reduced or preferably is prevented during the melting and/or fining processes by introducing an oxidizing agent into the glass melt. The apparatus has a melt crucible, a fining vessel, and a device for conducting oxygen and/or ozone into the glass melt in the melt crucible and/or fining vessel, in order to suppress reduction of reduction-sensitive components of the glass melt. A preferred embodiment of the apparatus has a metallic skull crucible, which includes the melt crucible and/or the fining vessel. The apparatus preferably includes a homogenization unit connected to the fining vessel to receive glass melt from the fining vessel in order to further process the glass melt after refining.