The Tokyo Stock Exchange's Nikkei 225 index had climbed 6.1 percent when traders went to lunch, which should be seen as a relief after Monday's sharp decline of 7.8 percent. The broader Topix index simultaneously pointed to a plus of 6.5 percent.
The prices on the Chinese stock exchanges have fluctuated after opening, since China promised to respond if US President Donald Trump makes good on Monday's threats of additional tariffs on Chinese goods.
The Hong Kong Stock Exchange's Hang Seng index rose 2.4 percent after a little more than an hour of trading. Shanghai's composite index was up 0.5 percent.
South Korea's Kospi index stood at a plus of 1.2 percent simultaneously.
The US stock exchanges fluctuated heavily on Monday after several statements in the looming trade war. At the close, the broad S&P 500 index had fallen 0.2 percent.