Japan's Nikkei 225 rose 140.40 points, or 0.64 percent, to 21,952.40 while the Topix index added 11.96 points, or 0.73 percent, to 1,644.16. South Korea's Kospi advanced 16.40 points, or 0.79 percent, to 2,099.42.
Greater China markets finished Tuesday's session mixed. The Taiex, which measures the performance of aggregate listed stocks on the Taiwan stock exchange, closed up 13.26 points, or 0.14 percent, at 9,778.62, after being down 0.7 percent earlier in the day. Hong Kong's Hang Seng Index was trading lower by about 0.45 percent in the late afternoon.