  Stellar sources are identified in the Hubble Deep Field, and accurate colours
and magnitudes are presented. The predictions of a Galactic starcounts model
are compared with the faint stellar counts in this field. The model reproduces
the observations very well in the magnitude range 21.0 < V < 26.4, while it
overpredicts the counts by a factor of four in the range 26.4 < V < 30.0. The
luminosity function for halo objects must be a factor of two smaller than that
predicted by an extrapolation of the solar-neighborhood luminosity function for
disc stars (with 95% confidence level). This result, seen before in deep Hubble
Space Telescope images of globular clusters, is therefore confirmed for the
halo field population. The possible nature of a group of faint-blue objects is
also investigated, concluding that they are most likely non-stellar. The
possibility that they are QSOs is ruled out. If we insist upon their stellar
nature, they would be halo white dwarfs, with either a very steep halo white
dwarf luminosity function for Mv > +11.0, or a stellar density 0.4 times that
of the disc white dwarfs in the solar-neighborhood.
