This table contains the first sample of 31-GHz selected sources to flux levels of 1 mJy. From late-2005 to mid-2007, the Sunyaev-Zel'dovich Array (SZA) observed 7.7 deg² of the sky at 31 GHz to a median rms of 0.18 mJy/beam. The authors identify 209 sources at greater than 5-sigma significance in the 31-GHz maps, ranging in flux from 0.7 mJy to ~200 mJy. Archival NRAO VLA Sky Survey (NVSS) data at 1.4 GHz and observations at 5 GHz with the Very Large Array are used to characterize the sources. The authors determine the maximum-likelihood integrated source count to be N(>S) = (27.2 +/- 2.5) deg^-2 * (S_mJy)^{(-1.18 +/- 0.12)} over the flux range 0.7 - 15 mJy. This result is significantly higher than predictions based on 1.4-GHz selected samples, a discrepancy which can be explained by a small shift in the spectral index distribution for faint 1.4-GHz sources. From comparison with previous measurements of sources within the central arcminute of massive clusters, the authors derive an overdensity of 6.8 +/- 4.4 deg^-2, relative to field sources. The SZA is an interferometer designed specifically for detecting and imaging the Sunyaev-Zel'dovich (SZ) effect in galaxy clusters, and is located at the Owens Valley Radio Observatory (OVRO). The SZA is equipped with an 8-GHz wideband correlator and sensitive 26GHZ-36GHz receivers. The data in the SZA survey correspond to 1493 tracks taken between 2005 November 13 and 2007 July 25. The data in the CMB anisotropy measurements correspond to an additional 414 tracks taken between 2005 November 12 and 2007 October 25. The analysis in this paper refers to the full 1907 tracks taken in both observing modes. To complement the NVSS and FIRST observations, the authors obtained high-sensitivity VLA observations at 5 GHz between 2007 February 24 and 2007 April 15. This table was created by the HEASARC in June 2102 based on <a href="https://cdsarc.cds.unistra.fr/ftp/cats/J/ApJ/716/521">CDS Catalog J/ApJ/716/521</a> file table3.dat. Some of the values for the name parameter in the HEASARC's implementation of this table were corrected in April 2018. This is a service provided by NASA HEASARC .