Moses grew up in a Jewish family in Berkeley, California, earned his bachelor's degree at Yale University, and his Master of Fine Arts degree in dramatic writing from New York University. He has taught playwriting at both Yale and New York University, and he has written for Men of a Certain Age and Boardwalk Empire.
His most prominent work, the musical The Band's Visit, opened on December 8, 2016 at the Atlantic Theater Company. That production won the 2017 Obie Award for Musical Theatre Off-Broadway. After closing on January 9, 2017, the musical moved to Broadway. It began previews on October 7, 2017 and officially opened on November 9, 2017 at the Ethel Barrymore Theatre. For his work on The Band's Visit, Moses won the 2018 Tony Award for Best Book of a Musical.
- Dorothy and Alice (short), world premiere at the Manhattan Theatre Source, January 2001
- Bach at Leipzig, world premiere at the Hangar Theatre in Ithaca, New York, July 2002.
- Outrage, world premiere at Portland Center Stage, 2003. Workshop at Just Add Water: A Playwright's Festival in 2001.
- Authorial Intent and Idea, (shorts), world premiere as a double-bill at Manhattan Theatre Source, New York, April 2005
- Celebrity Row, world premiere at Portland Center Stage, March 2006
- The Four of Us, world premiere at the San Diego Old Globe Theatre, February 3, 2007
- Szinhaz, (short), world premiere at the Duke Theater, New York City, April 2007
- Yellowjackets, world premiere at Berkeley Repertory Theatre, September 2008
- Back Back Back, world premiere at the San Diego Old Globe Theatre, September 2008
- Love/Stories (Or, But You Will Get Used to It), (short), world premiere at the Flea Theater, New York City, February 2009
- Completeness, world premiere at South Coast Repertory Theatre, April 17, 2011
- Nobody Loves You (book), co-written with Gaby Alter; at San Diego Old Globe Theatre, May 24, 2012; at Second Stage Theatre, July 18, 2013
- The Fortress of Solitude (book), world premiere at Public Theater, New York City, September 2014
- The Band's Visit (book), with music and lyrics by David Yazbek
- Bach at Leipzig. New York: Faber and Faber, 2005.
- The Four of Us. New York: Faber and Faber, 2008.
- Bloom, Nate (June 7, 2018). "The Jews go to the Tonys, 2018 — including Berkeley's own Ari'el Stachel". J. The Jewish News of Northern California.
- Atlantic Theater Company, https://atlantictheater.org
- Pipenberg, Erik "The Bands Visit to Open on Broadway", The New York Times, May 24th, 2017
- The Nutshell Festival
- Itamar Moses (2008). Bach at Leipzig. Samuel French, Inc. ISBN 978-0-573-65144-1. Retrieved 3 February 2013.
- Itamar Moses (2008). Outrage. Samuel French, Inc. ISBN 978-0-573-65145-8. Retrieved 3 February 2013.
- some sources (like  ) report the world premiere at Bloomington Playwrights Project in February 2001, however, the published play contradicts that on page 3 in the Billing and Credit Requirements.
- Itamar Moses (29 April 2010). Love/Stories (Or, But You Will Get Used to It): Five Short Plays. Northwestern University Press. ISBN 978-0-8101-2691-6. Retrieved 3 February 2013.
- Itamar Moses (7 July 2009). Back Back Back; Celebrity Row; Outrage: Three Plays. Macmillan. ISBN 978-0-86547-905-0. Retrieved 3 February 2013.
- Itamar Moses (28 February 2009). The Four of Us. Samuel French, Inc. ISBN 978-0-573-69649-7. Retrieved 3 February 2013.
- Saenger, Diana (2012-05-24). "Reality TV rocks in Nobody Loves You at The Old Globe". La Jolla Light. Archived from the original on 2014-07-14. Retrieved 2012-05-31.
- Isherwood, Charles (2013-07-18). "Prime-Time Heartache". New York Times. Retrieved 2014-07-10.
- "Public Theater listing for Fortress of Solitude". Public Theater.