Joseph Baker McCutcheon (June 10, 1929 – July 27, 2004) was an American gridiron football player and coach. He served as the head football coach at Randolph–Macon College in Ashland, Virginia from 1958 to 1963, compiling a recorder of 22–27–3. McCutcheon was a star football player at Washington & Lee University in Lexington, Virginia. He was selected by the Pittsburgh Steelers in the 1951 NFL Draft.