Oil prices are also falling.
The Hang Seng index of the Hong Kong stock exchange lost as much as 4 percent, while the KOSPI index in Seoul fell 2.5 percent. At the same time, the stock index in Sydney rose almost 1.5 percent.
Markets in Japan, China, and Thailand were closed due to holidays.
Beijing has been criticized for its lack of transparency in its response to the pandemic. The US is investigating a possible virus leak from a biological laboratory in the city of Wuhan, where the virus was first detected at the end of last year.
China denies that the coronavirus outbreak, which turned into a pandemic, started in this laboratory, and not as a result of animal-to-human transmission in Wuhan, as is commonly believed.
Futures on US markets fell by about half a percent. Futures on European markets also declined.
In oil futures trading, the price of benchmark U.S. crude WTI fell 6.9 percent to $ 18.41 per barrel. Brent crude, the international benchmark, fell 1.9 percent to $ 25.92 per barrel.