  Accurate and complete rotational, rotational-vibrational and
rotational-vibrational-electronic line lists are calculated for sodium hydride:
both the NaH and NaD isotopologues are considered. These line lists cover all
ro-vibrational states of the ground ($X$~$^1\Sigma^+$) and first excited
($A$~$^1\Sigma^+$) electronic states. The calculations use available
spectroscopically-determined potential energy curves and new high-quality,
\textit{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 7000~K 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 broad absorption feature
at about 385 nm which should provide a signature for the molecule. All
partition functions, lines and transitions are available as Supplementary
Information to this article and at \url{www.exomol.com}.

Astrophysics of Galaxies;Chemical Physics