One of the books was the "Law of Nations," which deals with international relations. The other was a volume of debates from Britain's House of Commons.
Both books were due on Nov. 2, 1789.
New York Society Library head librarian Mark Bartlett said the institution isn't actively seeking payment of the fines, but would love to get the books back.
The ledger also lists books being taken out by other founding fathers, including Alexander Hamilton, Aaron Burr and John Jay.
The entry on Washington doesn't identify him by name, but lists the borrower simply as, "president."
Information from: Daily News, www.nydailynews.com