In a process for the manufacture of substantially pore-free shaped polycrystalline articles from pulverulent material or from articles preformed therefrom that have pores open at the surface, by isostatic hot-pressing, the article being sealed under vacuum in a glass casing, in a high pressure autoclave using an inert gas as a pressure-transfer medium, the improvement which comprises contacting the glass-encased powders or articles with a heat-resistant pulverulent material which is permeable to the pressure-transfer medium and which penetrates into the surface of the glass or reacts with it when the glass casing softens during the heating-up operation in the isostatic hot-pressing process, whereby the glass casing is reinforced from the outside at the isostatic pressing temperature.