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In this paper, we report the discovery of a binary composed of a brown dwarfand a low-mass M dwarf from the observation of the microlensing eventOGLE-2014-BLG-0257. Resolution of the very short-lasting caustic crossingcombined with the detection of subtle continuous deviation in the lensing lightcurve induced by the Earth's orbital motion enable us to precisely measure boththe Einstein radius \theta_E and the lens parallax pi_E, which are the twoquantities needed to unambiguously determine the mass and distance to the lens.It is found that the companion is a substellar brown dwarf with a mass 0.036+/- 0.005 Msun (37.7 +/- 5.2\ M_J) and it is orbiting an M dwarf with a mass0.19 +/- 0.02 Msun. The binary is located at a distance 1.25 +/- 0.13 kpctoward the Galactic bulge and the projected separation between the binarycomponents is 0.61 +/- 0.07 AU. The separation scaled by the mass of the hostis 3.2 AU/Msun. Under the assumption that separations scale with masses, then,the discovered brown dwarf is located in the zone of the brown dwarf desert.With the increasing sample of brown dwarfs existing in various environments,microlensing will provide a powerful probe of brown dwarfs in the Galaxy.

OGLE-2014-BLG-0257L: A Microlensing Brown Dwarf Orbiting a Low-mass M Dwarf