  In this paper we present the source list for 3 Chandra observations of the
Local Group galaxy M33. The observations are centered on the nucleus and on the
star forming region NGC 604. We detect a total of 261 sources in an area of
\~0.2 square degree down to a flux limit of 3*10^{-16} erg/s/cm^2 which
corresponds to a luminosity of ~2*10^34 erg/s at a distance of 840 kpc. From
the source list we construct the luminosity functions of sources observed in
M33. Taking into account background contamination the luminosity functions are
consistent with those of other star forming galaxies. In addition, the
combination of X-ray color analysis and the existence of ``blue'' optical
counterparts strongly indicate that the X-ray point source population in M33
consists of young objects. Above 3*10^35 erg/s there are few X-ray sources in
the locus of the X-ray hardness ratio diagram that is generally populated by
LMXBs.
