Japan's Nikkei 225 stock average added 0.2 percent to 14,425.04 and Hong Kong's Hang Seng gained 0.6 percent to 23,351.84. South Korea's Kospi was 0.8 percent higher at 2,036.56. Taiwan's stock index rose 0.9 percent to 8,347.55.
China's Shanghai Composite index bucked the trend, down 0.3 percent at 2,230.62.
Wong said recent economic data from China has been mixed, with investors still not sure whether the Chinese economy will stabilize after a prolonged slowdown.
Markets in Indonesia, Malaysia, Singapore and the Philippines were closed for holidays.
On Wall Street, the Dow Jones industrial average rose 64 points, or 0.4 percent, to close at 15,301 on Monday.
The Standard & Poor's 500 rose seven points, or 0.4 percent, to 1,710. The Nasdaq composite rose 23 points, or 0.6 percent, to 3,815.
In energy trading, benchmark crude for November delivery was down 13 cents at$102.28 a barrel in electronic trading on the New York Mercantile Exchange.
The euro rose to $1.356 from $1.3554 late Monday. The dollar dropped to 98.45 yen from 98.67 yen.