Japan's Nikkei 225 rose 1.8% Tuesday, topping the key psychological mark of 33,000 points for the first time since July 1990 and closing at 33,018.65. Meanwhile, the Topix also reached new highs in 2023, closing 1.16% up at 2,264.79.
Asia-Pacific markets rose ahead of the U.S. inflation report and the Federal Reserve's two-day meeting later in the day. The central bank is widely expected to hold rates for the first time in 15 months. U.S. annual inflation expectations marked a two-year low in the latest New York Fed survey.
In Australia, the S&P/ASX 200 returned from a public holiday and rose 0.23% to close at 7,138.9. South Korea's Kospi rebounded and rose 0.33% to close at 2,637.95, with the Kosdaq also up 1.25% to end at 896.81.
Hong Kong's Hang Seng index continued a four-day winning streak and rose 0.71% in its final hour of trade.
In mainland China, the Shanghai Composite was up 0.15% to end the day at 3,233.67, and the Shenzhen Component gained 0.76% to close at 10,955.96, extending its gains for a fourth straight day.
Overnight in the U.S., the S&P 500 jumped to its highest level in 13 months on Monday as traders looked ahead to the Fed's June meeting.
The S&P 500 added 0.93%, while the Dow Jones Industrial Average climbed 0.56% on Tuesday. The Nasdaq Composite led gains and popped 1.53%, also reaching its highest levels since April 2022.
— CNBC's Sarah Min and Brian Evans contributed to this report