Tokyo rises 0.3%
Japan's benchmark Nikkei extended gains into a second straight session on Tuesday, lifted by a weak Japanese yen trading at a six-week low against the greenback.
Exporters were the main beneficiaries from a soft currency, with Honda Motor and Sony surging over 1 percent, respectively.
SoftBank continued its rally on news of Alibaba's highly-anticipated initial public offering in the U.S. The Japanese firm – a major shareholder in the Chinese e-commerce giant – widened gains to nearly 5 percent.
Released in early trade, minutes of the Bank of Japan's policy meeting revealed that some policymakers believe exports could be slow to respond to developments in overseas economies due to structural changes.
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Sydney adds 0.4%
Australia's key S&P ASX 200 closed at a session high of 5,607 on Tuesday, supported by gains in mining stocks. Rio Tinto and BHP Billiton reversed morning losses to closed 1 percent higher, each.
Banking majors also lifted the bourse; Macquarie Group rose 1.2 percent, while Australia and New Zealand Bank and Commonwealth Bank of Australia traded 0.3 and 0.2 percent higher, respectively.
Gold miner Newcrest Mining plunged 2 percent, on the back of slumping gold prices.
Meanwhile, National Australia Bank's measure of Australian business conditions pulled back from four-year highs in August as sales and profits eased.