NaCa3IrO6 (I) and NaCa3RuO6 (II) crystallize with trigonal (rhombohedral) symmetry in the space group R(3) over barc$, Z = 6, for I a = 9.272(3) Angstrom, c = 11.214(1) Angstrom; for II a = 9.244(3) Angstrom, c = 11.201(1) Angstrom. NaCa3IrO6 (I) and NaCa3RuO6 (II) are isotypic to compounds of the Sr4PtO6 structure type. The structures have been solved by means of single crystal X-ray diffraction data analysis with the reliability factors for I of R = 0.032 and R-W = 0.039; and the the reliability factors for II of R = 0.024 and R-W = 0.031. The structure consists of infinite chains of alternating face-sharing MO6 octahedra, where M = Ir or Ru, and NaO6 trigonal prisms. The chains are separated by the calcium cations.