α Aurigae (Latinised to Alpha Aurigae) is the star's Bayer designation. It also has the Flamsteed designation 13 Aurigae. It is listed in several multiple star catalogues as ADS 3841, CCDM J05168+4559, and WDS J05167+4600. As a relatively nearby star system, Capella is listed in the Gliese-Jahreiss Catalogue with designations GJ 194 for the bright pair of giants and GJ 195 for the faint pair of red dwarfs.
The traditional name Capella is Latin for (small) female goat; the alternative name Capra was more commonly used in classical times.[12] In 2016, the International Astronomical Union organized a Working Group on Star Names (WGSN)[13] to catalogue and standardize proper names for stars. The WGSN's first bulletin of July 2016[14] included a table of the first two batches of names approved by the WGSN; which included Capella for this star. It is now so entered in the IAU Catalog of Star Names.[15] The catalogue of star names lists Capella as applying to the star with the designations α Aurigae, HR 1708, HD 34029, and HIP 24608, which suggests only the primary component of the Capella system should receive that name. The IAU's own documentation makes it explicit that the proper name should strictly only be applied to the visually brightest component. In this case it is somewhat uncertain which of the components is the brightest and the IAU list does not specify.[16]