Udall grew up in a large Mormon family in St. Johns, Arizona. He graduated from Brigham Young University and later attended the Iowa Writers' Workshop at the University of Iowa. He was formerly a faculty member of Franklin & Marshall College starting in 1998, then Southern Illinois University, and now teaches writing at Boise State University.
A collection of his short stories titled Letting Loose the Hounds was published in 1998, and his debut novel The Miracle Life of Edgar Mint was first published in 2001. The characterization and structure of the latter has been favorably compared to the work of John Irving. Thematically it has been compared to Charles Dickens. Michael Stipe has optioned a film adaptation of Miracle, with United Artists hiring Michael Cuesta to direct.
Udall is a member of the Udall family, a U.S. political family rooted in the American West. Its role in politics spans over 100 years and four generations and includes his great-uncles former U.S. congressman and Interior Secretary Stewart Udall and former congressman and presidential candidate Morris Udall.
- Letting Loose the Hounds (stories) (1997)
- The Miracle Life of Edgar Mint (novel) (2001)
- The Lonely Polygamist (novel) (2010)
- "Brady Udall, current Writer in Residence 2010". Idaho Commission on the Arts. 2010. Retrieved October 2, 2011.
- Writers on the Verge, The Village Voice, May 2001
- "Udall Mints a Dickens of a Tale in 'Miracle Life'" by Brandon Griggs, Salt Lake Tribune, 17 June 2001, (mirror of article)
- Press Release #063 dated 16 October 2003, Office of College Communications, Franklin & Marshall College
- Franklin & Marshall magazine, Summer 2003
- MFA Program in Creative Writing, Boise State University, Last accessed 30 August 2007
- Men Behaving Badly by Jim Shepard, The New York Times, 2 March 1997
- "Cuesta pulls off 'Miracle' for UA, Cell" by Michael Fleming, Variety, 13 February 2002
- This American Life, Episode 336: Who Can You Save?, Act 3, broadcast 6 July 2007.