The royals will also take in New Orleans and San Antonio during their six-day trip starting on June 14, the ministry said in a statement.
The two cities are celebrating their tricentennial this year and "have important historical evidence of the deep and close ties that link Spain and the United States," the statement added.
The Spanish king and queen will get together with Trump and his wife Melania on June 19 on the last day of their visit.
They royals will be accompanied during the trip by the new Spanish Foreign Minister Josep Borrell, a former European parliament president.
The royal couple met with former US President Barack Obama and his wife Michelle at the White House in 2015.
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