The invention concerns a depository for radioactive waste and spent fuel cells comprising a concrete storage block in which several vertical storage and cooling channels are provided for accommodating the radioactive waste and the fuel cells. In order to provide an improved and safer concrete depository vis-a-vis the state of the art, the storage block is composed of several concrete blocks disposed beside and above one another. In the concrete blocks there are several vertical channels. The aligned channels of several concrete blocks placed on top of one another form storage and cooling channels for accommodating tubular storage containers for the radioactive waste and radioactive spent fuel cells. An annular gap is left for cooling air between the outer wall of the storage containers and the inner wall of the storage and cooling channels.