A device for producing a high-purity medical glass container from a hollow cylindrical glass blank extending along an axial direction (X) and having at least one open end, wherein the glass blank has a mouldable moulded section extending in the axial direction (X) from the open end. The device comprises a first moulding tool and a second moulding tool, where the first moulding tool has a moulding pin. The moulding pin can be moved via the open end of the hollow cylindrical glass blank in the moulded section thereof along the axial direction (X), wherein the moulding pin is fixed in a fixing unit of the first moulding tool. The moulded section can be deformed by the second moulding tool in such a way that an inner surface of the moulded section is in contact with the moulding pin, whereby the moulded section forms a channel.