Abstract: A package and process of using the package for disposal of radioactive cesium and strontium waste capsules. The package comprises a standard Hanford vitrified high-level waste canister as an outer container, which is approximately filled with three components: the first is a monolithic material with a defined cavity having a composite density less than about 3.5 grams per cubic centimeter and a melting temperature above that expected within the disposal package; the second is a frame for limiting relative movement of the capsules; and, the third are components forming an uninterrupted physical contact, thermal conduction pathway from the waste container to the outside of the package. The package includes lids for closing the disposal package. In the method of the invention, the capsules are loaded into position within the monolithic material, encased in thermally conducting material, and then lids are added to close the package.