F. A. Little, Jr. (born 1936) is a former United States federal judge.
Born in Minneapolis, Minnesota, Little received a B.A. from Tulane University in 1958 and a J.D. from Tulane Law School in 1961. He was in private practice in New Orleans, Louisiana from 1961 to 1965, and then in Alexandria, Louisiana until 1984.
On September 11, 1984, Little was nominated by President Ronald Reagan to a seat on the United States District Court for the Western District of Louisiana vacated by Nauman S. Scott. He was confirmed by the United States Senate on October 11, 1984, and received his commission the following day. He served as chief judge from 1996 to 2002, assuming senior status on May 30, 2002. Little served in that capacity until his retirement from the bench, on May 15, 2006.