Hillary Rodham Clinton has directed her aides to give the Justice Department an email server that housed the personal account that she used exclusively while secretary of state, along with a thumb drive that contained copies of the emails, her presidential campaign said on Tuesday.

The Justice Department and the F.B.I. have sought the server and the thumb drive as they investigate how classified information was handled in connection with the account. Earlier on Tuesday, the inspector general for the intelligence community told members of Congress that Mrs. Clinton had “top secret” information — the highest classification of government intelligence — in two emails among the 40 from the private account that the State Department has allowed him to review.

The State Department has declined to give the inspector general, I. Charles McCullough III, access to the entire trove of roughly 30,000 emails that Mrs. Clinton handed over to the department last year. Mrs. Clinton deemed those emails work-related, and said she deleted an additional 30,000 messages that were personal.

Since the account was revealed in March, Mrs. Clinton has been widely criticized for creating an email system that she said was more convenient for her, but that also helped shield her correspondence from Congress and the news media. She said she had never had any classified information on the account, though Mr. McCullough’s findings raise questions about that claim.