We evaluate non-local thermodynamical equilibrium (non-LTE) line formation
for neutral sodium in model atmospheres of the 79 red giants using the model
atom that incorporates the best available atomic data. The non-LTE abundances
of Na were determined from Na I 6154, 6161 \AA\ for the 38 stars of the thin
disk (15 of them the BaII stars), 15 stars of the thick disk, 13 stars of
Hercules stream and 13 transition stars which can be identified with neither
thin disk nor thick disk. For Na I 6154, 6161 \AA\ non-LTE abundance
corrections amount to -0.06 to -0.24 dex depending on stellar parameters. We
found no difference in [Na/Fe] abundance between the thick disk and thin disk
and the obtained abundances are close to the solar one. We confirmed a weak
excess of [Na/Fe] in BaII stars. Stars of the Hercules stream reveal [Na/Fe]
abundances close to the solar one. The obtained results can be used to
constrain the nucleosynthesis models for Na.Comment: 19 pages, 10 figures. Accepted to Astronomy Letter