
The key Nikkei 225 index, which plummeted 5.4 per cent on Wednesday, jumped 1,092.88 points to 17,344.42. The broader Topix index of all first-section issues was up 5.78 per cent, or 75.19 points, at 1,376.35.
"It's like yesterday never happened," said Tsutomu Yamada, an analyst at Kabu.com Securities Co in Tokyo, told Bloomberg News.
"What was a Trump shock-reaction is now a Trump rally," he said.
Tokyo's advance tracked a rally on Wall Street where pharmaceutical and banking shares soared on hopes that Trump's defeat of Hillary Clinton would usher in favourable policies.
Among the big gainers were exporters as the yen tumbled against the dollar.
The greenback bought 105.36 yen in Tokyo, down from 105.72 yen in New York but still sharply up from the 101.20 yen mark touched in Asia earlier Wednesday.
The Tokyo market saw "too much selling yesterday although I believe that was a normal reaction" to the surprise result, said Toshihiko Matsuno, senior strategist at SMBC Friend Securities.
He added that "no one had expected that much of a rally" on Wall Street.
"Those who sold shares yesterday are buying back as they watch Trump's next steps," he said, adding hopes were currently rising for fiscal-spending plans under the new administration.
"We will see more swings for some time."
Mitsushige Akino, an executive officer at Ichiyoshi Investment Management Co, told Bloomberg: "If the US economy revives through expanded fiscal spending and tax cuts, US interest rates would rise, which in turn is a plus for Japanese stocks through a stronger dollar and a weaker yen."
Among the big gainers, banking giant Mitsubishi UFJ Financial Group soared 11.18 per cent to 557.5 yen and brokerage Nomura shot up 11.07 per cent to 536.6 yen.
Mobile carrier SoftBank rose 9.14 per cent to 6,574 yen, while Sony was up 6.08 per cent at 3,207 yen.
Honda jumped 8.95 per cent to 2,980.5 yen and Toyota rose 5.95 per cent to 5,838 yen.