"Bud" Greenspan (September 18, 1926 – December 25, 2010) was an American film director, writer, and producer known for his sports documentaries.

When he left WMGM, Greenspan began contributing articles to magazines while also producing television commercials.

He dabbled in documentary filmmaking in 1952, with The Strongest Man in the World, a 15-minute feature on weightlifter John Davis, but he began his filmmaking career in earnest in 1964, accompanying Jesse Owens to West Berlin to film Jesse Owens Returns to Berlin.

Greenspan won his first Emmy for 1976's The Olympiad, 22 hour-long documentary specials on the Olympics (including Jesse Owens Returns to Berlin).

In 1977, he branched into docudrama with the two-hour movie of the week biography of gold-medalist Wilma Rudolph.

Bud Greenspan Circuit, Lidcombe, is a street in a housing development on the site the media centre at the Sydney Olympics.