A federal judge ordered the government on Thursday to propose redactions to the highly sensitive affidavit that was used to justify a search warrant executed by the F.B.I. last week at former President Donald J. Trump’s private home and club, saying he was inclined to unseal parts of it.

Ruling from the bench, the judge, Bruce E. Reinhart, said it was “very important” that the public have as “much information” as it can about the historic search at Mar-a-Lago, Mr. Trump’s Florida residence. He noted later in a written order that the government “had not met its burden of showing that the entire affidavit should remain sealed.”

Judge Reinhart went on to say that he was leaning toward releasing portions of the document, adding that “whether those portions would be meaningful for the public or the media” was not for him to decide. He also acknowledged that the redaction process could often be extensive and sometimes turned documents into “meaningless gibberish.”