Frank Burton Ellis (February 10, 1907 – November 3, 1969) was a United States district judge of the United States District Court for the Eastern District of Louisiana.

Born in Covington, Louisiana, Ellis attended the Gulf Coast Military Academy and received a Bachelor of Laws from the Paul M. Hebert Law Center at Louisiana State University in 1929. He was in private practice of law in New Orleans, Louisiana from 1930 to 1961. He served as a special assistant attorney general of Louisiana. He was a Member of the Louisiana State Senate from 1940 to 1944, serving as President pro tem from 1940 to 1944. He was National Director of the Office of Emergency Planning from 1961 to 1962. He was a Member of the National Security Council in 1961.^[1]

Ellis was nominated by President John F. Kennedy on February 2, 1962, to a seat on the United States District Court for the Eastern District of Louisiana vacated by J. Skelly Wright. He was confirmed by the United States Senate on April 3, 1962, and received his commission on April 12, 1962. He assumed senior status due to a certified disability on November 16, 1965. His service was terminated on November 3, 1969, due to his death.^[1]