Block for conditioning radioactive iodine in the form of a solid, iodine-containing compound, characterized in that it comprises a core formed by said iodine-containing compound, surrounded by a first compacted powder layer of a compound complying with one of the formulas:
- M.sub.3 (XO.sub.4).sub.2-2x (PO.sub.4).sub.2x (II)
- or
- M.sub.10 (XO.sub.4).sub.6-6x (PO.sub.4).sub.6x Y.sub.2 (III)
- in which M represents Cd or Pb, X represents V or As, Y represents OH, F, Cl or O.sub.1/2 and x is such that 0.ltoreq.x<1, and a second outer layer of non-iodine-containing apatite.