The invention includes an improved quartz glass body, especially an improved quartz glass crucible for melting non-metals, non-ferrous metals, or silicon, and a method and casting mold for making it The quartz glass body is made by a method in which a quartz glass-water mixture is supplied to a casting mold comprising an outer part and an inner part, dried in the mold, and put under an overpressure during the drying. Later a resulting green glass body is removed from the mold. At least a portion of the shaping surfaces of the inner part of the mold are surfaces of a water-impermeable substance. The method provides a cast body with a reduced tendency to crack and with a smaller open porosity.