The article considers two textbook-famous Cnidian plastic vessels from the collection of the State Historical Museum in Moscow. One of them, shaped as a ram, comes from the excavations of N.I. Veselovsky in the Kuban region, the second one – a lagynos with erotic scenes on its body – was found by I.I. Gushchina at the Late Scythian burial ground Belbek IV in the Southwestern Crimea. As part of a project to do research on monuments of the classical period from the State Historical Museum collection, an X-ray tomographic study of these vessels was conducted at the National Research Centre “Kurchatov Institute”, which made it possible to clarify the technology of their manufacture.