Abstract: A container device (10) for storing hazardous material comprises a substantially cylindrical container block which has a central axial cylindrical through passage (13) and includes a group of storage vessels (12) for the hazardous material positioned between the central passage and the circumferential surface of the container block and which further includes a cylindrical concrete body (14) enveloping the group of storage vessels. The storage vessels (12) are positioned adjacent to one another along a closed curve, and sections of the circumferential surfaces of adjacent storage vessels (12) form the predominant part of the wall of the central passage (13). The concrete body directly contacts the storage vessels (12) over substantially all the parts of said circumferential surfaces, which do not constitute said sections. When the container device is made, the remaining parts of the circumferential surfaces of the storage vessels (12) form a permanent formwork in which the concrete body (14) is cast.