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In November 2019, eROSITA on board of SRG observatory started to map theentire sky in X-rays. After the 4-year survey program, it will reach fluxlimits about 25 times deeper than ROSAT. During the SRG PerformanceVerification phase, eROSITA observed a contiguous 140 deg$^2$ area of the skydown to the final depth of the eROSITA all-sky survey ("eROSITA FinalEquatorial-Depth Survey": eFEDS), with the goal of obtaining a census of theX-ray emitting populations (stars, compact objects, galaxies, clusters ofgalaxies, AGN) that will be discovered over the entire sky.  This paper presents the identification of the counterparts to thepoint-sources detected in eFEDS in the Main and Hard samples described inBrunner et al 2021, and their multi-wavelength properties, including redshift.For the identification of the counterparts we combined the results from twoindependent methods (NWAY and ASTROMATCH), trained on the multi-wavelengthproperties of a sample of 23k XMM-Newton sources detected in the DESI LegacyImaging Survey DR8. Then spectroscopic redshifts and photometry from ancillarysurveys are collated for the computation of photometric redshifts. The eFEDSsources with a reliable counterparts are 24774/27369 (90.5\%) in the Mainsample and 231/246 (93.9\%) in the Hard sample, including 2514 (3) sources forwhich a second counterpart is equally likely. [abridged] This paper isaccompanying the eROSITA early data release of all the observations performedduring the performance and verification phase. Together with the catalogs ofprimary and secondary counterparts to the Main and Hard samples of the eFEDSsurvey this paper releases their multi-wavelength properties and redshifts.

The eROSITA Final Equatorial-Depth Survey (eFEDS): Identification and characterization of the counterparts to the point-like sources