The crystal structures of SreMg23, BaeMg23 , SrMg 4 and BaLi 4 have been determined by the singlecrystal X-ray diffraction method. SreMg23 and Ba6Mg23 are isomorphous with Th6Mn23 and SreLi23 and crystallize in space group Fm3m, with unit-cell dimensions a 0 = 14-91 and a 0 = 15-26 A, respectively. SrMg 4 is complex with 90 atoms in a unit cell of space group P63/mmc , with unit-cell dimensions a 0 = 10-51, c o = 28.36 A. BaLi 4, the only compound in the BaLi system, has been completely characterized, (including all Li atom positions). Its space group is P63/mmc with cell dimensions, a 0 --11.02, c o =8.89/~.The atomic arrangements of SrMg4, Sr6Mg23, Ba6Mg23 and BaLi 4 are closely related although their crystal structures are different.