The American president has previously during the night also threatened to introduce further export restrictions on advanced technology and said that he fires a Fed member.
The Japanese Nikkei 225 index had at lunchtime fallen back by 1.1 percent, while the broader Topix index had lost 1.0.
The Hong Kong Hang Seng index is also going down, 0.3 percent.
The Shenzhen composite index is going up, on the other hand, 0.1 percent, while the total in Shanghai loses 0.2 percent.