The 225-issue Nikkei Stock Average gained 107.69 points, or 0.42 percent, from Monday at 26,014.62, logging the highest close since May 14, 1991.
The broader Topix index of all First Section issues on the Tokyo Stock Exchange, meanwhile, increased 2.85 points, or 0.16 percent, higher at 1,734.66.
Air transportation, mining and insurance issues comprised those that increased the most by the close of play.
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