Floyd Robert Gibson (March 3, 1910 – October 4, 2001) was a United States federal judge.
Born in Prescott, Arizona, Gibson received an A.B. from the University of Missouri in 1931 and an LL.B. from the University of Missouri-Columbia School of Law in 1933. He was in private practice in Independence, Missouri from 1933 to 1937. He was in private practice in Kansas City, Missouri from 1937 to 1961. He was a member of the Missouri House of Representatives from 1940 to 1946. He was a Counselor, Jackson County, Missouri from 1942 to 1944. He was a member of the Missouri State Senate from 1946 to 1961. He was a President pro tem from 1957 to 1961.
Gibson was a federal judge on the United States District Court for the Western District of Missouri. Gibson was nominated by President John F. Kennedy on August 17, 1961, to a new seat created by 75 Stat. 80. He was confirmed by the United States Senate on August 30, 1961, and received his commission the same day. He served as chief judge from 1962 to 1965. Gibson served in that capacity until June 20, 1965, due to appointment to another judicial position.
Gibson was a federal judge on the United States Court of Appeals for the Eighth Circuit. Gibson was nominated by President Lyndon B. Johnson on May 18, 1965, to a seat vacated by Albert Alphonso Ridge. He was confirmed by the United States Senate on June 8, 1965, and received his commission the same day. He served as chief judge from 1974 to 1979. He assumed senior status on December 31, 1979. Gibson served in that capacity until October 4, 2001, due to his death.
He died in Kansas City, Missouri.