In this letter we report a discovery of an ultra-luminous fast evolving transient in rest-frame UV wavelengths, MUSSES2020J, soon after its occurrence by using the Hyper Suprime-Cam (HSC) mounted on the 8.2m Subaru telescope. The rise time of about 5 days with an extremely high UV peak luminosity share similarities with a handful of fast blue optical transients whose peak luminosities are comparable with the most luminous supernovae while their timescales are significantly shorter (hereafter "fast blue ultra-luminous transient," FBUT). In addition, MUSSES2020J is located near the center of a normal low-mass galaxy at redshift of 1.063, suggesting a possible connection between the energy source of MUSSES2020J and the central part of the host galaxy. Possible physical mechanisms of powering this extreme transient such as a wind-driven tidal disruption event and an interaction between supernova and circumstellar material are qualitatively discussed based on the first multiband early-phase light curve of FBUTs, while whether the scenarios can quantitatively explain the early photometric behavior of MUSSES2020J requires systematical theoretical investigations. Thanks to the ultra-high luminosity in UV and blue optical wavelengths of these extreme transients, a promising number of FBUTs from local to high-z universe can be discovered through deep wide-field optical surveys in the near future.