The present invention relates to an all-ceramic dental prosthesis in which a porous ceramic matrix material is infiltrated with a glass, having a solubility of <1100 .mu.g/cm.sup.2 according to DIN EN ISO 6872. The invention also relates to the use of niobium-containing glass having an Nb.sub.2O.sub.5 content of more than 0.1% by weight as an infiltration glass for all-ceramic dental compositions.