Bally's Corp. made the announcement Monday, saying the closure on April 2 - days before the 67th anniversary of the Tropicana's opening - marks the beginning of preparations for demolition of the resort on the Las Vegas Strip.
The new stadium will cost $US1.5 billion ($A2.3 billion).
The Tropicana was dubbed the "Tiffany of the Strip," described as the most expensive hotel-casino built in Las Vegas when it opened with three stories and 300 rooms in 1957 at a cost of $US15 million.
A dancer poses outside the hotel Tropicana in Las Vegas in December 1965. (AP PHOTO)
Now, that parcel is the planned site of a 30,000-seat ballpark with a retractable roof. All 30 MLB owners in November gave their approval for the A's to move to Las Vegas.
In a statement, Bally's President George Papanier described the ballpark plans as a "once-in-a-lifetime opportunity".
"Bally's looks forward to the development of a new resort and ballpark that will be built in its place and will become a new landmark, paying homage to the iconic history and global appeal of Las Vegas and its nearly 50 million visitors a year," the company said in a news release.
Bally's says it will no longer accept hotel bookings after April 2 and will relocate any customers who reserve past the closing date.
The company's announcement came a month after the Tropicana and the Culinary Workers Union, which represents about 500 workers there, reached an agreement for a new five-year contract.
Rhode Island-based Bally's purchased the Tropicana in 2021 for $US308 million ($A467 million).