Morris Williams Golf Course was constructed in 1963 and opened in 1964 as Austin's third municipal course. Designed by Leon Howard, one of the most prolific golf course architects of the time, the course features small, slightly elevated, contoured greens. These features, combined with rolling terrain, probably make Morris Williams the most difficult of all of the City's courses. However, the recent addition of forward tees and improved turf make the course playable for all levels of golfers.

Morris Williams Golf Course was named after Morris Williams Jr., potentially the best golfer ever developed in Austin. He won every trophy available to him from the Austin area, from the Texas Junior Championships to the National Air Force Trophy, now named in his honor. He lost his life as a young man during the Korean war in a jet plane crash in Florida.

The course served as the home of the University of Texas golf teams under legendary coaches Harvey Penick and George Hannon. During this time, the University won 2 NCAA championships with teams that featured Tom Kite and Ben Crenshaw.