Moore was in private practice in Atlanta, Georgia in 1961 with the firm of Fisher and Phillips before moving to Fort Lauderdale, Florida where he was a partner with the firms of Fleming, O'Bryan and Fleming and then Turner, Shaw and Moore from 1961 to 1967.
Moore also served as attorney for the School Board of Broward County.
Moore served as a judge on the Florida Fourth District Court of Appeal from 1977 to 1981.
Confirmed by the United States Senate on November 24, 1981, he received his commission on December 1, 1981.
Moore served as Chief Judge from 1992 to 1995 and assumed senior status on December 31, 1995.