• Theater Hall of Fame
• Tony Award for Best Original Score (1982) (Nine)
• Tony Award for Best Musical (1982) (Nine)
• Tony Award for Best Musical Revival (2003) (Nine)
• Drama Desk Award for Outstanding Music (1982,Nine)
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• Drama Desk Award for Outstanding Lyrics (1982) (Nine)
• Nominee Tony Award for Best Original Score in (1990) (Grand Hotel)
• Nominee Drama Desk Award for Outstanding Music (Grand Hotel)
• Nominee Drama Desk Award for Outstanding Lyrics (Grand Hotel)
• Tony Award for Best Original Score (1997) (Titanic)
• Tony Award for Best Musical (1997) (Titanic)
• Nominee for Grammy Award for Best Musical Show Album, 1983
(Nine)
• Nominee for Grammy Award for Best Musical Show Album, 1998 (Titanic)
• Nominee for Grammy Award for Best Musical Show Album, 2004 (Nine)
• Laurence Olivier Award 2005 (Grand Hotel)
• Nominee for Academy Award for Best Original Song – “Take It All” in 2010 (Nine)
• Nominee for Golden Globe Award for Best Original Song – “Cinema Italiano” in 2010 (Nine)
• Nominee for Broadcast Film Critics Award for Best Original Song – (“Cinema Italiano)
• Nominee for Satellite Award for Best Original Song – (“Cinema Italiano””)
• Nominee for the Drama Desk Award for Outstanding Music in 2012 (Death Takes a Holiday)
• Nominee for the Drama Desk Award for Outstanding Lyrics in 2012 (Death Takes a Holiday)
• ACE Award -Association of Latin Entertainment Critics Argentine award – Mejor Musical for “Nueve”
• Ambassador of The Society of Composers and Lyricists
• Honorary Doctorate in Music, DMA Five Towns College 2004[
• Elaine Kaufman Cultural Center Creative Arts Award, 1998
• Kayden Visiting Artist, Harvard University
• Emerson College Leonidas A. Nicklole Artist of Distinction Award
. Encompass Opera Lifetime Achievement Honoree
• Sheldon Harnick Award For Creative Excellence
• Friends of Music Medal/Yale (Composition)
• Theatre Hall of Fame Inductee