This work presents the UV flux catalog Multi-visit GALEX CAUSE Kepler (MGCK), created from the observations conducted over a period of about 45 days by the Galaxy Evolution Explorer (GALEX) space telescope within the Complete All-Sky Ultraviolet Survey Extension (CAUSE) in August-September 2012. The construction of the catalog was made with the Source Extraction software (SExtractor) in a dual mode using GALEX CAUSE Kepler (GCK) coadded catalog as input to perform the sources detections and their photometric measurements in each tile for each visit. MGCK contains the light curves of 660,490 point sources in the near ultraviolet (NUV) detected in the 104 square degrees field observed by the Kepler space telescope. MGCK has 475,164 sources in common with the Kepler Input Catalog (KIC). Approximately 31,000 sources from MGCK present significant variability. The MGCK catalog should enable the UV variability study in the Kepler field of astronomical sources like variable stars, eclipsing stars, UV flares detection, and extragalactic objects, if detected, like AGNs and Quasars, as well the complementary characterization of the Visible variability.