The present invention relates to a method of manufacturing artificial tooth veneer restorations for natural teeth composed of a ceramic core (B) by pressing and sintering ceramic powder. The core (B) is preferably manufactured from a high strength densely sintered ceramic material by copy milling from an impression of the prepared tooth surface (P) to a compacted body, a presintered body or a sintered body. Alternatively the core (B) is manufactured by compacting the ceramic powder against a body, which surface is copy milled from a modell of the prepared tooth surface (P). During the copy milling the sintering shrinkage is considered by enlargement of the copy milled compacted body, the presintered body or the sintered body corresponding to the sintering shrinkage. The tooth veneer restorations are given their final shape by shaping the external surface (Y) of the compacted, presintered or sintered ceramic body. After the final sintering the external surface (Y) can be shaped before a veneer material is attached to the external surface of the core (B) by firing of dental porcelain (A). Manufacturing ceramic teeth veneer restorations according to the method of this invention increases their strength and accuracy to shape.