Note: Award winners will appear on a background
| Year | Category | Show | Noms |
|---|---|---|---|
| 1962 | Best Musical | Milk and Honey Production took place the previous year. | |
| 1962 | Best Original Score (Music and/or Lyrics) Written for the Theatre | Milk and Honey | |
| 1964 | Best Musical | Hello, Dolly! | Awards winner |
| 1964 | Best Original Score (Music and/or Lyrics) Written for the Theatre | Hello, Dolly! | Awards winner |
| 1966 | Best Original Score (Music and/or Lyrics) Written for the Theatre | Mame | |
| 1979 | Best Original Score (Music and/or Lyrics) Written for the Theatre | The Grand Tour | |
| 1984 | Best Original Score (Music and/or Lyrics) Written for the Theatre | La Cage aux Follesproduction took place the previous year. | Awards winner |
| 2009 | Special Tony Award for Lifetime Achievement in the Theatre | Awards winner |
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