Accurate and complete rotational-vibrational and rotational-vibrational- electronic line lists are calculated for sodium hydride: both NaH and NaD isotopologue are considered. These line lists cover all ro- vibrational states of the ground (X^1^{Sigma}^+^) and first excited electronic states. The calculations use available spectroscopically- determined potential energy curves and new high-quality, ab initio dipole moment curves. Partition functions for both isotopologues are calculated and the effect of quasibound states is considered. The resulting line lists are suitable for temperatures up to about 7000K and are designed for studies of exoplanet atmospheres, brown dwarfs and cool stars. In particular the NaH A-X band is found to show a strong at about 385nm which should provide a signature for the molecule. All partition functions, lines and transitions are available as Supplementary Information to this article and at www.exomol.com.