Abstract: In a container for the storage of radioactive material comprising an inner casing for receiving the material and an outer casing made of a ceramic material which surrounds the inner casing, it is of prime importance that mechanical and thermal stresses which occur during storage and transport do not lead to destruction of the outer casing. In order to achieve this, the inner casing is held within the outer casing by contact distributed over a large surface area of the inner wall of the outer casing, the contact being achieved solely by frictional engagement, or by frictional engagement assisted by an adhesive. Preferably a contact element forming a frictional engagement element consists of a slotted sleeve and an abutment which is connected to the inner casing.