| Drama Desk Awards | Citation of Excellence | Clinton Wilder, Richard Barr | Theatre '61 Productions |
| Drama Desk Awards | Citation of Excellence | Joan Hackett | Call Me By My Rightful Name1960-61 season |
| Drama Desk Awards | Citation of Excellence | Boris Tumarin, Boris Tumarin | Montserrat1960-61 season |
| Drama Desk Awards | Citation of Excellence | Tom Jones, Harvey Schmidt | The Fantasticks1960-61 season |
| Drama Desk Awards | Citation of Excellence | Theodore J. Flicker | The Premise1960-61 season |
| Drama League Awards | Distinguished Performance Award | Hume Cronyn | |
| Evening Standard Theatre Awards | Best Actor | Christopher Plummer | Becket |
| Evening Standard Theatre Awards | Best Play | Jean Anouilh | Beckett |
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| Evening Standard Theatre Awards | Charles Wintour Award for Most Promising Playwright | Henry Livings | Stop it Whoever You Are |
| Evening Standard Theatre Awards | Charles Wintour Award for Most Promising Playwright | Gwyn Thomas | The Keep |
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| Evening Standard Theatre Awards | Natasha Richardson Award for Best Actress | Vanessa Redgrave | The Lady from the Sea |
| Evening Standard Theatre Awards | Ned Sherrin Award for Best Musical | | Beyond the Fringe |
| New York Drama Critics Circle Awards | Best American Play | Tad Mosel | All the Way Home1960-1961 season |
| New York Drama Critics Circle Awards | Best Foreign Play | Shelagh Delaney | A Taste of Honey1960-1961 season |
| New York Drama Critics Circle Awards | Best Musical | Michael Stewart, Bob Merrill | Carnival!1960-1961 season |
| Outer Critics Circle Awards | Best Ensemble Acting | | Big Fish, Little Fish1960-61 season |
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| Outer Critics Circle Awards | Best Musical Performance | Don Tompkins | Wildcat1960-61 season |
| Outer Critics Circle Awards | Creative Contribution of the Season | Gower Champion | 1960-61 season |
| Outer Critics Circle Awards | Creative Contribution of the Season | | Carnival1960-61 season |
| Outer Critics Circle Awards | Creative Contribution of the Season | | Rhinoceros1960-61 season |
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| Outer Critics Circle Awards | Outstanding Set Design | Oliver Smith | Camelot1960-61 season |
| Outer Critics Circle Awards | Special Citation | American Shakespeare Festival Theatre and Academy | 1960-61 season |
| Pulitzer Prize for Drama | The Pulitzer Prize for Drama | Tad Mosel | All The Way Home |
| Theatre World Awards | Performance | Joan Hackett | Call Me By My Rightful NameSeason 1960–1961 |
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| Theatre World Awards | Performance | Robert Goulet | CamelotSeason 1960–1961 |
| Theatre World Awards | Performance | June Harding | Cry of the RaindropSeason 1960–1961 |
| Theatre World Awards | Performance | Nancy Dussault | Do Re MiSeason 1960–1961 |
| Theatre World Awards | Performance | Dennis Cooney | Every Other EvilSeason 1960–1961 |
| Theatre World Awards | Performance | Sandy Dennis | Face of a HeroSeason 1960–1961 |
| Theatre World Awards | Performance | James MacArthur | Invitation to a MarchSeason 1960–1961 |
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| Theatre World Awards | Performance | Ron Husmann | TenderloinSeason 1960–1961 |
| Theatre World Awards | Performance | Bruce Yarnell | The Happiest Girl in the WorldSeason 1960–1961 |
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| Theatre World Awards | Performance | Joyce Bulifant | Whisper to MeSeason 1960–1961 |
| Tony Awards | Best Choreography | Gower Champion | Bye Bye BirdieProduction took place the previous year. |
| Tony Awards | Best Choreography | Onna White | Irma La Douce |
| Tony Awards | Best Conductor and Musical Director | Pembrode Davenport | 13 Daughters |
| Tony Awards | Best Conductor and Musical Director | Elliot Lawrence | Bye Bye Birdie |
| Tony Awards | Best Conductor and Musical Director | Franz Allers | CamelotProduction took place the previous year. |
| Tony Awards | Best Conductor and Musical Director | Stanley Lebowsky | Irma La Douce |
| Tony Awards | Best Costume Design of a Musical | Tony Duquette | CamelotProduction took place the previous year. |
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| Tony Awards | Best Costume Design of a Musical | Rolf Gerard | Irma La Douce |
| Tony Awards | Best Costume Design of a Musical | Cecil Beaton | Tenderloin |
| Tony Awards | Best Costume Design of a Play | Raymond Sovey | All the Way Home |
| Tony Awards | Best Costume Design of a Play | Motley | Becket |
| Tony Awards | Best Costume Design of a Play | Theoni V. Aldredge | The Devil's Advocate |
| Tony Awards | Best Direction of a Musical | Gower Champion | Bye Bye BirdieProduction took place the previous year. |
| Tony Awards | Best Direction of a Musical | Garson Kanin | Do Re Mi |
| Tony Awards | Best Direction of a Musical | Peter Brook | Irma La Douce |
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| Tony Awards | Best Direction of a Play | Arthur Penn | All the Way Home |
| Tony Awards | Best Direction of a Play | Sir John Gielgud | Big Fish, Little Fish |
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| Tony Awards | Best Direction of a Play | Joseph Anthony | Rhinoceros |
| Tony Awards | Best Direction of a Play | Joan Littlewood | The Hostage |
| Tony Awards | Best Musical | Charles Strouse | Bye Bye Birdie |
| Tony Awards | Best Musical | Jules Styne | Do Re Mi |
| Tony Awards | Best Musical | Marguerite Monnot | Irma La DouceProduction took place the previous year. |
| Tony Awards | Best Performance by an Actor in a Featured Role in a Play | Martin Gable | Big Fish, Little Fish |
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| Tony Awards | Best Performance by an Actor in a Featured Role in a Play | George Grizzard | Big Fish, Little Fish |
| Tony Awards | Best Performance by an Actor in a Featured Role in a Play | Eduardo Ciannelli | The Devil's Advocate |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Musical | Dick Van Dyke | Bye Bye BirdieProduction took place the previous year. |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Musical | Dick Gautier | Bye Bye Birdie |
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| Tony Awards | Best Performance by an Actor in a Leading Role in a Musical | Richard Burton | CamelotProduction took place the previous year. |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Musical | Phil Silvers | Do Re Mi |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Musical | Clive Revill | Irma La Douce |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Musical | Maurice Evans, Ron Husmann | Tenderloin |
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| Tony Awards | Best Performance by an Actor in a Leading Role in a Play | Anthony Quinn | Becket |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Play | Hume Cronyn | Big Fish, Little Fish |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Play | Zero Mostel | Rhinoceros |
| Tony Awards | Best Performance by an Actor in a Leading Role in a Play | Sam Levene | The Devil's Advocate |
| Tony Awards | Best Performance by an Actress in a Featured Role in a Musical | Chita Rivera | Bye Bye Birdie |
| Tony Awards | Best Performance by an Actress in a Featured Role in a Musical | Nancy Dussault | Do Re Mi |
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| Tony Awards | Best Performance by an Actress in a Featured Role in a Musical | Tammy Grimes | The Unsinkable Molly BrownProduction took place the previous year. |
| Tony Awards | Best Performance by an Actress in a Featured Role in a Play | Colleen Dewhurst | All the Way HomeProduction took place the previous year. |
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| Tony Awards | Best Performance by an Actress in a Featured Role in a Play | Eileen Heckart | Invitation to a March |
| Tony Awards | Best Performance by an Actress in a Featured Role in a Play | Rosemary Murphy | Period of Adjustment |
| Tony Awards | Best Performance by an Actress in a Featured Role in a Play | Tresa Hughes | The Devil's Advocate |
| Tony Awards | Best Performance by an Actress in a Featured Role in a Play | Philip Bosco | The Rape of the Belt |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Musical | Julie Andrews | Camelot |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Musical | Nancy Walker | Do Re Mi |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Musical | Elizabeth Seal | Irma La DouceProduction took place the previous year. |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Musical | Carol Channing | Show Girl |
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| Tony Awards | Best Performance by an Actress in a Leading Role in a Play | Joan Plowright | A Taste of HoneyProduction took place the previous year. |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Play | Barbara Bel Geddes | Mary, Mary |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Play | Tallulah Bankhead | Midgie Purvis |
| Tony Awards | Best Performance by an Actress in a Leading Role in a Play | Barbara Baxley | Period of Adjustment |
| Tony Awards | Best Play | Fred Coe | All the Way Home |
| Tony Awards | Best Play | Jean Anouilh | BecketTranslated by Lucienne Hill. Produced by David Merrick. |
| Tony Awards | Best Play | Dore Schary | The Devil's Advocate |
| Tony Awards | Best Play | Brendan Behan | The HostageProduction took place the previous year. |
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| Tony Awards | Best Scenic Design of a Musical | George Jenkins | 13 Daughters |
| Tony Awards | Best Scenic Design of a Musical | Robert Randolph | Bye Bye Birdie |
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| Tony Awards | Best Scenic Design of a Musical | Oliver Smith | CamelotProduction took place the previous year. |
| Tony Awards | Best Scenic Design of a Play | Rouben Ter-Arutunian | Advise and Consent |
| Tony Awards | Best Scenic Design of a Play | David Hays | All the Way Home |
| Tony Awards | Best Scenic Design of a Play | Oliver Smith | Becket |
| Tony Awards | Best Scenic Design of a Play | Roger Furse | Duel of Angels |
| Tony Awards | Best Scenic Design of a Play | Jo Mielziner | The Devil's Advocate |
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| Tony Awards | Best Stage Technician | Teddy Van Bemmel | Becket |
| Tony Awards | Special Tony Award | David Merrick, The Theatre Guild | In recognition of a fabulous production record over the last seven years. |
| Village Voice Obie Awards | Best Actor | Khigh Dhiegh | In The Jungle Of Cities |
| Village Voice Obie Awards | Best Actress | Anne Meacham | Hedda Gabler |
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| Village Voice Obie Awards | Best Director | Gerald A. Freedman | The Taming Of The Shrew |
| Village Voice Obie Awards | Best Music | Teiji Ito | In the Jungle of Cities |
| Village Voice Obie Awards | Best Music | Teiji Ito | Three Modern Japanese Plays |
| Village Voice Obie Awards | Best New American Play | Jean Genet | The Blacks |
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| Village Voice Obie Awards | Best Off-Off Broadway Production | Theodore Flicker | The Premise |
| Village Voice Obie Awards | Best Production | David Ross | Hedda Gabler |
| Village Voice Obie Awards | Citations | Bernard Frechtman | The BlacksTranslation |
| Village Voice Obie Awards | Performance | Joan Hackett | Call Me By My Rightful Name |
| Village Voice Obie Awards | Performance | Lester Rawlins | Hedda Gabler |
| Village Voice Obie Awards | Performance | Gerry Jedd | She Stoops to Conquer |
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| Village Voice Obie Awards | Performance | Godfrey M. Cambridge | The Blacks |
| Village Voice Obie Awards | Performance | Surya Kumari | The King of the Darn Chamber |
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| Village Voice Obie Awards | Performance | James Coco | The Moon in the Yellow River |
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