The most recent before that was a trip in 2000 by a transport secretary under US President Bill Clinton.
Azar's trip would be the highest-level visit by an American Cabinet official since the break in formal diplomatic relations between Washington and Taipei in 1979.
Washington's trade office in Taipei confirmed that health chief Alex Azar would lead an upcoming delegation to the self-ruled island, which China's communist leaders claim and have vowed to one day seize.
Shortly after his election Trump became the first USA leader since 1979 to speak directly with his Taiwanese counterpart when Tsai phoned to congratulate him.
The statement also says, "in contrast to authoritarian systems, the U.S. and Taiwan are uniquely equipped to drive global progress in areas such as medicine and science to help the world tackle emerging threats".
Cabinet spokesman Kolas Yotaka said Taiwan welcomed Mr Azar's visit and that it was "a testament to the friendly ties between Taiwan and the United States".
The ministry said Azar will meet with independence-minded President Tsai Ing-wen, with whose government Beijing cut off virtually all contacts four years ago, and with Foreign Minister Joseph Wu and top health officials.
The Ministry added that the visit showed firm USA support for Taiwan - and the closeness of their relationship.
Azar will be the first HHS secretary to visit Taiwan and the first Cabinet member to visit in six years since then-Environmental Protection Agency administrator Gina McCarthy visited in 2014.
The statement notes that in 2018, Trump signed into law the Taiwan Travel Act, and says this visit is part of the US policy of sending high-ranking officials to reaffirm the US-Taiwan friendship.
Taiwan has expressed gratitude for USA support during the pandemic as it seeks meaningful access to the WHO.
The US, like most countries, has no formal diplomatic ties with Taiwan, having dropped Taipei in favour of Beijing in 1979, but is the island's main arms supplier and strongest backer on the global stage.
"I look forward to conveying President Trump's support for Taiwan's global health leadership and underscoring our shared belief that free and democratic societies are the best model for protecting and promoting health", Azar said.
Taiwan's strong performance in handling its coronavirus outbreak has drawn global plaudits while highlighting its exclusion from the World Health Organization (W.H.O.) and other United Nations bodies.