  We select the Luminous Infrared Galaxies by cross-correlating the Faint
Source Catalogue (FSC) and Point Source Catalogue (PSC) of the IRAS Survey with
the Second Data Release of the SDSS for studying their infrared and optical
properties. The total number of our sample is 1267 for FSC and 427 for PSC by
using 2$\sigma$ significance level cross-section. The "likelihood ratio" method
is used to estimate the sample's reliability and for a more reliable subsample
(908 for FSC and 356 for PSC) selection. Then a Catalog with both the infrared,
optical and radio informations is presented and will be used in further works.
Some statistical results show that the Luminous Infrared Galaxies are quite
different from the Ultra-Luminous Infrared Galaxies. The AGN fractions of
galaxies with different infrared luminosities and the radio to infrared
correlations are consist with previous studies.
