The Japanese Nikkei 225 was off 0.82 percent, while the Topix fell 0.77 percent. Across the Korean Strait, the Kospi was higher by 0.41 percent.
Australia's ASX 200 retraced some of the early losses, but was still down 0.49 percent, after being closed for the Easter holiday on Friday and Monday.
Overnight, U.S. indexes were mixed, with the Dow Jones industrial average up 0.11 percent, the S&P 500 up 0.05 percent and the Nasdaq composite down 0.14 percent.
Reference: CNBC