In Tokyo, both the important Nikkei 225 index and the broader Topix index stood at a plus of 1.5 percent at lunch local time.
It was also cheerful in South Korea, where the Kospi index rose by around 1.5 percent.
It was even more cheerful in Hong Kong, where the Hang Seng index rose by 2.4 percent.
From the composite indices in Shanghai and Shenzhen, it was a bit more cautious, but the two still noted increases of 1 percent and 1.7 percent, respectively.
The increases occurred after Saturday's announcement from the Trump administration that smart phones, computers, and other electronics would be exempt from the tariffs imposed on the rest of the world. The move was seen by analysts as a relief in the trade war between the US and China.
However, on Sunday, new bids emerged when Trade Minister Howard Lutnick said in an interview with ABC News that electronics imported to the US would receive separate tariffs within "a month or two".
This was followed by a new statement from Trump, who in a post on his platform Truth Social announced that it was not an exemption, but that the products were covered by existing 20 percent tariffs and would be moved to a new tariff category.
