Trump announced the news with Acosta by his side at the White House as Trump left on a trip to the Midwest.
Acosta says stepping aside was the right decision.
He was the U.S. attorney in Miami when he oversaw a 2008 nonprosecution agreement with Epstein. Epstein avoided federal charges and served 13 months in jail.
Similar charges recently filed against Epstein by federal prosecutors in New York had put Acosta’s role in the 2008 deal under renewed scrutiny.