We found superconductivity in the sodium-X-C₆₀ (X=nitrogen and hydrogen) ternary compounds. The onset Tc is observed at 13 K for Na_xN_yC₆₀and 15 K for Na_xH_yC₆₀. In contrast to Na_xN_yC₆₀ composed of two face-centered-cubic (fcc) phases, Na_xH_yC₆₀ crystallizes in a single fcc phase. The Rietveld analysis for the powder X-ray diffraction pattern of Na_xH_yC₆₀ demonstrates that Na⁺ ions in both the tetrahedral and octahedral sites are off-centered. Hydrogen in Na_xH_yC₆₀ is detected by solid state¹H NMR and thermal desorption spectroscopy. Na_xN_yC₆₀ and Na_xH_yC₆₀ superconductors containing off-centered alkali-metal ions belong to the different family from the on-centered M₃C₆₀ and Na₂MC₆₀.