"I hope ambassador Kennedy will enjoy the full package of Japan - the blizzard of cherry blossoms, Mount Fuji and the state-of-the-art technology," a relaxed-looking Abe said ahead of the ride.
As the distinctive white and pink petals of the blossom swirled in the breeze, the pair boarded at the Yamanashi Maglev Test Line near Mount Fuji.
The smiling premier was able to show off the technology with ease, as the train reached speeds of 505 kilometres per hour at certain points in the journey.
Japanese business newspaper Nikkei reported today that the operator, Central Japan Railway, does not plan to charge licensing fees in the US for the maglev train, a strong incentive for Washington to select the system for a proposed high-speed rail line between Washington DC and Baltimore.
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The proposed 60-kilometre link will represent the first phase in the US government's plan to connect the capital and Boston.
To help alleviate the estimated USD 9.75 billion cost of the franchise, Japan intends to finance half of it through the Japan Bank for International Cooperation, the Nikkei said.
After the ride, Abe said: "Since I was able to share this experience with ambassador Kennedy today, I hope she would share her story with White House as well."
Kennedy added she thought the technology was "something that will bring great benefits to Japan and hopefully to the United States."
The train hovers 10 centimetres above the tracks and reached a world record speed of 581 kilometres per hour in 2003, according to the operator.