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Precise measurement of neutrino-nucleus interactions with an accelerator neutrino beam is highly important for current and future neutrino oscillation experiments. To measure muon-neutrino charged-current interactions with nuclear emulsion detector, muon track matching among the detectors are essential. We describe the design and performance of a newly developed scintillation tracker for the muon track matching in the neutrino-nucleus interaction measurement with nuclear emulsion detectors. The scintillation tracker consists of four layers of horizontally and vertically aligned scintillator bars, covering an area of 1 m 1 m. In the layer, 24 mm-wide plastic scintillator bars are specially arranged with deliberate gaps between each other. By recognizing the hit pattern of the four layers, a precise position resolution of 2.5 mm is achieved while keeping the number of readout channels as small as 256. The efficiency of the track matching is evaluated to be more than 97% for forward-going muons, and the position and angle resolutions of the scintillation tracker are 2.5 mm and 20-40 mrad respectively. The results demonstrate the usefulness of the design of the scintillation tracker for the muon track matching in the nuclear-emulsion-based neutrino-nucleus interaction measurements.