Kumar, who is accompanied by state road transport minister Nand Kishore Yadav and senior officials from the state, reached Tokyo around noon and began his tour with a luncheon hosted by Japanese State Minister for Foreign Affairs Kazuyuki Nakane, an official release said here.
Kumar thereafter met Abe and lauded the efforts made by the latter and Prime Minister Narendra Modi in the direction of deepening Indo-Japan ties, the release said.
Kumar also invited Abe to visit Bihar on his next tour of India and requested technical help for "Peace Corridor" - a high-speed rail link which would cover the Buddhist Circuit.
The Chief Minister also discussed the immense potential of the state in sectors like tourism, agriculture and food processing, the release added.
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Later, Kumar met Japanese Minister for Foreign Affairs Taro Kono and held discussions on the feasibility of direct flights between Bihar and Japan and investment possibilities in the state for the far-eastern economic power.
The Chief Minister also interacted with people from Bihar who have made Japan their home and commended their achievements.
Kumar is on a three-day visit to Japan.