Sydney jumps 1.3%
Australia's benchmark S&P ASX 200 posted its biggest one-day rise since July 2 to finish Tuesday at a one-week high of 5,530.
Strong gains in banking stocks provided upward momentum for the bourse. Westpac scaled nearly 2 percent while National Australia Bank and Commonwealth Bank of Australia added 1.5 percent each.
Miners also had a good rally on Tuesday; Fortescue Metals and Rio Tinto soared 2 percent and 1.6 percent, respectively.
Shares of Domino's Pizza bolstered 14 percent following the announcement of a robust 50 percent rise in full year profits.
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Tokyo rises 0.1%
Japan's benchmark Nikkei index was lackluster after raking in its biggest daily jump in four months on Monday. A weaker Japanese yen, trading at 102.3 against the greenback, did little to help sentiment.
Top gainers include Mitsubishi UFJ Financial Group and Toyota Motors which piled on 1.0 and 0.8 percent each.
Meanwhile, wholesale prices for July rose 4.3 percent on-year, according to data from the Bank of Japan released in early trade. This is slightly below the median market forecast for a 4.4 percent annual increase and follows a 4.6 percent yearly rise in June.
Read MoreBrace for Japan GDP, it's going to be ugly
Seoul up 0.1%
South Korean shares pared earlier gains to end Tuesday's trading session slightly higher, despite the government announcing additional stimulus aimed at boosting the domestic service sector.
Outperforming the bourse was Kia Motors which rallied 2.2 percent.
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India, Singapore watched
Indian shares finished higher by 1.4 percent with results from Tata helping to boost sentiment in the country.
India's consumer price inflation accelerated to a two-month high of 7.96 percent in July, driven up by surging prices for vegetables, fruit and milk, government data showed on Tuesday. Analysts polled by Reuters expect the inflation data to be little changed from the previous month
The country also released its industrial output data for June, which expanded by an unexpectedly slow 3.4 per cent from a year earlier.
Singapore shares lost earlier gains to finish flat. The Southeast Asian economy expanded an annualized 0.1 percent in the second quarter, above expectations for a 0.1 percent contraction in a Reuters poll, according to data on Tuesday.
Thai markets remain closed for a holiday on Tuesday.