Roy William Johnson (September 6, 1892 – September 20, 1989), nicknamed "Old Ironhead," was an American football player, coach of football, basketball, and baseball, and college athletics administrator. He served in various capacities in the athletics program at the University of New Mexico for nearly 40 years. He was the university's athletic director from 1920 to 1949, head football coach from 1920 to 1930, and head basketball coach from 1920 to 1931 and 1933 to 1940. He also coached New Mexico's track and tennis teams. In 1957, the university named the newly built Johnson Gymnasium in his honor.