London Theatre Direct tweeted live results as they came in on Twitter. For a full list of winners, see below:

Best Musical
Bring It On: The Musical
A Christmas Story, The Musical
Kinky Boots
Matilda The Musical

Best Play
The Assembled Parties by Richard Greenberg 
Lucky Guy by Nora Ephron 
The Testament of Mary by Colm Tóibín 
Vanya and Sonia and Masha and Spike by Christopher Durang

Best Book of a Musical
A Christmas Story, The Musical - Joseph Robinette
Kinky Boots - Harvey Fierstein
Matilda The Musical - Dennis Kelly
Rodgers + Hammerstein's Cinderella - Douglas Carter Beane

Best Original Score (Music and/or Lyrics) Written for the Theatre
A Christmas Story, The Musical - Music and Lyrics: Benj Pasek and Justin Paul
Hands on a Hardbody - Music: Trey Anastasio and Amanda Green Lyrics: Amanda Green
Kinky Boots - Music & Lyrics: Cyndi Lauper
Matilda The Musical - Music & Lyrics: Tim Minchin

Best Revival of a Play
Golden Boy
Orphans
The Trip to Bountiful
Who's Afraid of Virginia Woolf?

Best Revival of a Musical
Annie
The Mystery of Edwin Drood
Pippin
Rodgers + Hammerstein's Cinderella

Best Performance by an Actor in a Leading Role in a Play
Tom Hanks - Lucky Guy
Nathan Lane - The Nance
Tracy Letts - Who's Afraid of Virginia Woolf? 
David Hyde Pierce - Vanya and Sonia and Masha and Spike
Tom Sturridge - Orphans

Best Performance by an Actress in a Leading Role in a Play
Laurie Metcalf - The Other Place
Amy Morton - Who's Afraid of Virginia Woolf? 
Kristine Nielsen - Vanya and Sonia and Masha and Spike
Holland Taylor - Ann
Cicely Tyson - The Trip to Bountiful

Best Performance by an Actor in a Leading Role in a Musical
Bertie Carvel - Matilda The Musical
Santino Fontana - Rodgers + Hammerstein's Cinderella
Rob McClure - Chaplin
Billy Porter - Kinky Boots
Stark Sands - Kinky Boots

Best Performance by an Actress in a Leading Role in a Musical
Stephanie J. Block - The Mystery of Edwin Drood
Carolee Carmello - Scandalous
Valisia LeKae - Motown The Musical
Patina Miller - Pippin
Laura Osnes - Rodgers + Hammerstein's Cinderella

Best Performance by an Actor in a Featured Role in a Play
Danny Burstein - Golden Boy
Richard Kind - The Big Knife
Billy Magnussen - Vanya and Sonia and Masha and Spike
Tony Shalhoub - Golden Boy
Courtney B. Vance - Lucky Guy

Best Performance by an Actress in a Featured Role in a Play
Carrie Coon - Who's Afraid of Virginia Woolf? 
Shalita Grant - Vanya and Sonia and Masha and Spike
Judith Ivey - The Heiress
Judith Light - The Assembled Parties
Condola Rashad - The Trip to Bountiful

Best Performance by an Actor in a Featured Role in a Musical
Charl Brown - Motown The Musical
Keith Carradine - Hands on a Hardbody
Will Chase - The Mystery of Edwin Drood
Gabriel Ebert - Matilda The Musical
Terrence Mann - Pippin

Best Performance by an Actress in a Featured Role in a Musical
Annaleigh Ashford - Kinky Boots
Victoria Clark - Rodgers + Hammerstein's Cinderella
Andrea Martin - Pippin
Keala Settle - Hands on a Hardbody
Lauren Ward - Matilda The Musical

Best Direction of a Play
Pam MacKinnon - Who's Afraid of Virginia Woolf? 
Nicholas Martin - Vanya and Sonia and Masha and Spike
Bartlett Sher - Golden Boy
George C. Wolfe - Lucky Guy

Best Direction of a Musical
Scott Ellis - The Mystery of Edwin Drood
Jerry Mitchell - Kinky Boots
Diane Paulus - Pippin
Matthew Warchus - Matilda The Musical

Best Choreography
Andy Blankenbuehler - Bring It On: The Musical
Peter Darling - Matilda The Musical
Jerry Mitchell - Kinky Boots
Chet Walker - Pippin

Best Orchestrations
Chris Nightingale - Matilda The Musical
Stephen Oremus - Kinky Boots
Ethan Popp & Bryan Crook - Motown The Musical
Danny Troob - Rodgers + Hammerstein's Cinderella

Best Scenic Design of a Play
John Lee Beatty - The Nance
Santo Loquasto - The Assembled Parties
David Rockwell - Lucky Guy
Michael Yeargan - Golden Boy

Best Scenic Design of a Musical
Rob Howell - Matilda The Musical
Anna Louizos - The Mystery of Edwin Drood
Scott Pask - Pippin
David Rockwell - Kinky Boots

Best Costume Design of a Play
Soutra Gilmour - Cyrano de Bergerac
Ann Roth - The Nance
Albert Wolsky - The Heiress
Catherine Zuber - Golden Boy

Best Costume Design of a Musical
Gregg Barnes - Kinky Boots
Rob Howell - Matilda The Musical
Dominique Lemieux - Pippin
William Ivey Long - Rodgers + Hammerstein's Cinderella

Best Lighting Design of a Play
Jules Fisher & Peggy Eisenhauer - Lucky Guy
Donald Holder - Golden Boy
Jennifer Tipton - The Testament of Mary
Japhy Weideman - The Nance

Best Lighting Design of a Musical
Kenneth Posner - Kinky Boots
Kenneth Posner - Pippin
Kenneth Posner - Rodgers + Hammerstein's Cinderella
Hugh Vanstone - Matilda The Musical

Best Sound Design of a Play
John Gromada - The Trip to Bountiful
Mel Mercier - The Testament of Mary
Leon Rothenberg - The Nance
Peter John Still and Marc Salzberg - Golden Boy

Best Sound Design of a Musical
Jonathan Deans & Garth Helm - Pippin
Peter Hylenski - Motown The Musical
John Shivers - Kinky Boots
Nevin Steinberg - Rodgers + Hammerstein's Cinderella

Special Tony Award® for Lifetime Achievement in the Theatre
Bernard Gersten
Paul Libin
Ming Cho Lee

Regional Theatre Award
Huntington Theatre Company

Isabelle Stevenson Award
Larry Kramer

Tony Honors for Excellence in the Theatre
Career Transition For Dancers
William Craver
Peter Lawrence
The Lost Colony
The four actresses who created the title role of Matilda The Musical on Broadway - Sophia Gennusa, Oona Laurence, Bailey Ryon and Milly Shapiro