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 \sim 0.2 square degree down to a flux limit of 3 \times 10 ^ { -16 } erg s ^ { -1 } cm ^ { -2 } which corresponds to a luminosity of \sim 2 \times 10 ^ { 34 } erg s ^ { -1 } 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 \times 10 ^ { 35 } erg s ^ { -1 } there are few X-ray sources in the locus of the X-ray hardness ratio diagram that is generally populated by LMXBs .