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The 18806 ROSAT All Sky Survey Bright Source Catalog (RASS/BSC) X-ray sourcesare quantitatively cross-associated with near-infrared (NIR) sources from theTwo Micron All Sky Survey Point Source Catalog (2MASS/PSC). An associationcatalog is presented, listing the most likely counterpart for each RASS/BSCsource, the probability Pid that the NIR source and X-ray source are uniquelyassociated, and the probability Pnoid that none of the 2MASS/PSC sources areassociated with the X-ray source. The catalog includes 3853 high quality(Pid>0.98) X-ray--NIR matches, 2280 medium quality (0.98>Pid>0.9) matches, and4153 low quality (0.9>Pid>0.5) matches. Of the high quality matches, 1418 areassociations that are not listed in the SIMBAD database, and for which no highquality match with a USNO-A2 optical source was presented for the RASS/BSCsource in previous work. The present work offers a significant number of newassociations with RASS/BSC objects that will require optical/NIR spectroscopyfor classification. For example, of the 6133 Pid>0.9 2MASS/PSC counterpartspresented in the association catalog, 2411 have no classification listed in theSIMBAD database. These 2MASS/PSC sources will likely include scientificallyuseful examples of known source classes of X-ray emitters (white dwarfs,coronally active stars, active galactic nuclei), but may also containpreviously unknown source classes. It is determined that all coronally activestars in the RASS/BSC should have a counterpart in the 2MASS/PSC, and that theunique association of these RASS/BSC sources with their NIR counterparts thusis confusion limited.

XID II: Statistical Cross-Association of ROSAT Bright Source Catalog X-ray Sources with 2MASS Point Source Catalog Near-Infrared Sources