China
Chinese equities closed higher on Tuesday as the benchmark Shanghai Composite Index went up 1.79 percent, or 51.20 points, to close at 2,904.12 points.
The Shenzhen Component Index gained 2.51 percent, or 314.90 points, to close at 12,872.45 points.
Combined turnover shrank to 259.64 billion yuan (38.8 billion U.S. dollars), from 280.01 billion yuan on the previous trading day.
Japan
Japan's Nikkei share average rose 1.5 percent for its highest close since May as investors rooted out bargains following two straight days of declines.
The benchmark Nikkei-225 increased 154.12 points, or 1.51 percent, from Monday, to 10,370.53.
Major electronics maker Sony Corp gained 2.7 percent, construction machinery maker Komatsu Ltd climbed 1.5 percent and Mitsubishi Motors Corp added 2.5 percent.
A decision by the Bank of Japan to leave policy unchanged was fully factored into markets.
Australia
The Australian share market was boosted by mining stocks after a rise in commodity prices to 27-month highs overnight, which also buoyed offshore markets.
The benchmark S&P/ASX200 index closed up 35.3 points, or 0.75 percent, at 4,771.9, while the broader All Ordinaries index gained 33.3 points, or 0.69 percent, to 4,862.5.
