© 2014 ESO. In this paper we introduce the deepest and most extensive ultraviolet extragalactic source catalogs of the Virgo Cluster area to date. Archival and targeted GALEX imaging is compiled and combined to provide the deepest possible coverage over 120 deg2 in the NUV (eff = 231 6 Å) and ~40 deg2 in the FUV (eff = 1539 Å) between 180= RA =195 and 0° =Dec = 20°. We measure the integrated photometry of 1770 extended UV sources of all galaxy types anduse GALEX pipeline photometry for 1230855 point-like sources in the foreground, within, and behind the cluster. Extended source magnitudes are reliable to mUV ~ 22 showing a = ~ 0.01 = s difference from their asymptotic magnitudes. Point-like source magnitudes have a 1 = s standard deviation within = ~ 0.2 mag down to muv ~ 23. The point-like source catalog is cross-matched with large optical databases and surveys including the SDSS DR9 (> 1 million Virgo Cluster sources), the Next Generation Virgo Cluster Survey (NGVS; > 13 million Virgo Cluster sources),and the NED (~ 30000 sources in the Virgo Cluster). We find that 69% of the entire UV point-like source catalog has a unique optical counterpart, 11% of which are stars and 0.01% (129) are Virgo cluster members that are neither in the VCC nor part of the bright CGCG galaxy catalog (i.e., mpg <14.5). These data are collected in three catalogs containing the UV extended sources, the UV point-like sources, and the most relevant optical parameters of UV-optically matched point-like sources for further studies from SDSS. The GUViCS catalogs provide a unique set of data for future work on UV and multiwavelength studies in the cluster and background environments.