Haley was born in Los Angeles, the son of actor Jack Haley and his wife Florence. He was best known as the director of the 1974 compilation film That's Entertainment! and as the husband of Liza Minnelli, who was the daughter of Haley's father's co-star in The Wizard of Oz, Judy Garland.
Haley's other credits include producer and executive producer of Academy Awards presentation shows, and director of the 1971 film The Love Machine.
As a producer, Haley was responsible for some notable compilations and documentaries about film history, including That's Entertainment! (1974), That's Entertainment, Part II (1976), That's Dancing! (1985), and The Wonderful Wizard of Oz: 50 Years of Magic, narrated by Angela Lansbury.
Haley developed respiratory failure and died on April 21, 2001 in Santa Monica, California. He is buried in Culver City's Holy Cross Cemetery, next to his father Jack Haley, "The Tin Man" in The Wizard of Oz.