We present the analysis of the binary-microlensing event OGLE-2014-BLG-0289. The event light curve exhibits very unusual five peaks where four peaks were produced by caustic crossings and the other peak was produced by a cusp approach. It is found that the quintuple-peak features of the light curve provide tight constraints on the source trajectory, enabling us to precisely and accurately measure the microlensing parallax $pi_{rm E}$. Furthermore, the three resolved caustics allow us to measure the angular Einstein radius $thetae$. From the combination of $pi_{rm E}$ and $thetae$, the physical lens parameters are uniquely determined. It is found that the lens is a binary composed of two M dwarfs with masses $M_1 = 0.52 pm 0.04 M_odot$ and $M_2=0.42 pm 0.03 M_odot$ separated in projection by $a_perp = 6.4 pm 0.5$ au. The lens is located in the disk with a distance of $D_{rm L} = 3.3 pm 0.3$~kpc. It turns out that the reason for the absence of a lensing signal in the {it Spitzer} data is that the time of observation corresponds to the flat region of the light curve.