The Hang Seng China Enterprises Index was up 31.13 points or 0.64 percent at 4,891.78.
South Korean share prices closed 0.33 percent higher, with investor sentiment improving due to falling oil prices and a strong rally on Wall Street, dealers said.
The KOSPI index closed up 3.27 points at 992.17.
Chinese share prices closed 1.89 percent higher on continued bargain hunting with airline firms snapped up due to retreating crude prices, dealers said.
The Shanghai A-share Index advanced 24.26 points to 1,309.54, while the Shenzhen A-share Index was up 5.75 points or 1.79 percent at 326.33.
The benchmark Shanghai Composite Index closed up 23.03 points or 1.88 percent at 1,248.52.
Australian share prices closed up 0.91 percent as resources and a positive lead from Wall Street pushed the market higher, dealers said.
The benchmark SP/ASX 200 closed up 37.7 points at 4,165.5 while the broader All Ordinaries index ended up 36.1 points at 4,148.5.
Singapore share prices closed 0.26 percent higher amid positive sentiment ahead of the first-quarter earnings season, dealers said.
The Straits Times Index closed up 5.55 points at 2,181.94.
Thai share prices closed 0.85 percent higher on late local institutional buying in the energy and banking sectors, analysts said.
The Stock Exchange of Thailand composite index rose 5.79 points to close at 683.76 points while the blue-chip SET 50 index was up 0.46 points at 47.58.
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