It was not clear if such documents were recovered at the former president's Mar-a-Lago resort in Palm Beach, the Post said.
The US Justice Department asked a judge on Thursday to make public the warrant that authorized the FBI search of Mar-a-Lago, after Trump, a Republican, portrayed it as political retribution.
The request means the public could soon learn more about what investigators were looking for during the unprecedented search of a former president's home, Reuters reported.
The search was part of an investigation into whether Trump illegally removed records from the White House as he left office in January 2021, some of which the Justice Department believes are classified.
Attorney General Merrick Garland, the top law enforcement officer and an appointee of Democratic President Joe Biden, told a news conference that he had personally approved the search. The Justice Department also seeks to make public a redacted receipt of the items seized.
A source familiar with the matter said the FBI retrieved about 10 boxes from Trump's property during the search.
Trump was not in Florida at the time of the search.