Tokyo's stock market opened with significant gains on Tuesday, propelled by a surge in Wall Street fueled by excitement surrounding artificial intelligence. The Nikkei 225 index rose by 0.85 percent, adding 323.40 points to reach 38,425.84, while the broader Topix index increased by 0.70 percent, gaining 19.01 points to settle at 2,719.02.

According to brokerage firm Monex, the optimism from Wall Street, particularly led by stocks like Apple in the Dow index, set a positive tone for the Japanese market's opening.

In the tech sector, Tokyo Electron saw a notable increase of 1.94 percent to 34,740 yen, while Fanuc, a manufacturer of industrial robots, rose by 1.17 percent to 4,315 yen. Automotive giants also saw gains, with Toyota climbing 1.12 percent to 3,070 yen ahead of its annual general shareholder meeting, and Honda jumping 2.13 percent to 1,677.5 yen.

Fast Retailing, known for its Uniqlo brand, advanced by 0.66 percent to 39,720 yen.

Meanwhile, the dollar was trading at 157.69 yen in Tokyo, slightly down from its New York close of 157.72 yen on Monday.