A prototype of a two-coordinate position-sensitive detector based on a small-area 6LiF/ZnS(Ag) scintillator, fabricated using square-section spectrum-shifting optical fibers, is presented. The size of the square active area of the detecting surface (96 × 96 cm) corresponds to 16 channels along the X axis and 16 channels along the Y axis. The obtained neutron detection efficiency is 8%.