  We present positions and fluxes of point sources found in the Infrared Space
Observatory (ISO) images of the Hubble Deep Field (HDF) at 6.7 and 15 micron.
We have constructed algorithmically selected ``complete'' flux-limited samples
of 19 sources in the 15 micron image, and 7 sources in the 6.7 micron image.
The typical flux limit at 15 micron is 0.2 mJy and at 6.7 micron is 0.04 mJy.
We have selected ``supplementary'' samples of 3 sources at 15 micron and 20
sources at 6.7 micron by eye. We discuss the completeness and reliability of
the connected pixel source detect ion algorithm used, by comparing the
intrinsic and estimated properties of simulated data, and also by estimating
the noise properties of the real data. The most pessimistic estimate of the
number of spurious sources in the ``complete'' samples is 1 at 15 micron and 2
at 6.7 micron, and in the ``supplementary'' lists is 1 at 15 micron and 5 at
6.7 micron.
