Horace Weldon Gilmore (April 4, 1918 – January 25, 2010) was a United States federal judge.
Born in Columbus, Ohio, Gilmore received a B.A. from the University of Michigan in 1939 and a J.D. from the University of Michigan Law School in 1942. He was a lieutenant in the U.S. Naval Reserve during World War II, from 1942 to 1946. He was a law clerk to Charles Casper Simons of the U.S. Court of Appeals for the 6th Circuit from 1946 to 1947, and was then in private practice in Detroit, Michigan from 1947 to 1951. He was a special assistant U.S. Attorney for the Eastern District of Michigan from 1951 to 1952, returning to private practice from 1953 to 1954. He was a member of the Michigan Board of Tax Appeals in 1954, and a deputy state attorney general of Michigan from 1954 to 1956. He was a judge on the 3rd Judicial Circuit, Detroit, Michigan from 1956 to 1980.
On May 22, 1980, Gilmore was nominated by President Jimmy Carter to a seat on the United States District Court for the Eastern District of Michigan vacated by Cornelia Groefsema Kennedy. He was confirmed by the United States Senate on June 18, 1980, and received his commission the same day. He assumed senior status on May 1, 1991.