Taiwan has struggled to shore up its dwindling roster of allies as countries are choosing instead to establish relations with Beijing, which considers the self-governing island part of Chinese territory.
Tsai will visit Palau, Nauru and the Marshall Islands, Taiwan's official Central News Agency reported.
The agency said she will transit through Hawaii on March 27 on her way back from the Marshall Islands, but did not give further details.
China is particularly sensitive to cooperation between Taiwan and the U.S. When the latter approved the sale of $330 million of military equipment to Taiwan last September, China warned of "severe damage" to bilateral relations.
China's foreign ministry said Thursday that it has complained to the U.S. about Tsai's Hawaii stopover, mirroring its action toward a similar trip in 2017.
"Any attempt to create 'two Chinas' or 'one China, one Taiwan,' will be opposed by all Chinese people," ministry spokesman Geng Shuang said at a daily briefing. "We urge the U.S. to abide by the 'one China' principle ... and to not grant a stopover for Tsai Ing-wen, and to not send wrong messages to Taiwan independence forces."
Han has said Taiwan should be more open to peace negotiations with China, in contrast to Tsai, who has dismissed Beijing's overtures.
Han is to visit the southern cities of Shenzhen and Xiamen, as well as the semi-autonomous regions of Hong Kong and Macau, from Friday to March 28.