He received the prestigious Record of the Year and Song of the Year awards for his single Stay With Me, while parent album, In the Lonely Hour, took the Best Vocal Pop Album Award.
Smith also received the prize for New Artist of the Year.
Elsewhere, Aphex Twin took the Best Dance/Electronic Album Award for Syro, while Clean Bandit featuring Jess Glynne received the Best Dance Recording prize for Rather Be.
The Producer of the Year accolade went to Max Martin, for his work with Jessie J, Katy Perry and Taylor Swift.
The Grammy Awards 2015 took place on 8 February. Madonna, Katy Perry, Rihanna, Kanye West and Sir Paul McCartney were among those performing at the Los Angeles ceremony.
Read our feature on Smith co-writer and producer Jimmy Napes.
Full winners’ list:
Record of the Year: Stay With Me, Sam Smith
Album of the Year: Morning Phase, Beck
Song of the Year: Stay With Me, Sam Smith
Best New Artist: Sam Smith
Best Pop Solo Performance: Happy (Live), Pharrell Williams
Best Pop Duo/ Group Performance: Say Something, A Great Big World with Christina Aguilera
Best Trditional Pop Vocal Album: Cheek To Cheek, Tony Bennett and Lady Gaga
Best Pop Vocal Album: In The Lonely Hour, Sam Smith
Best Dance Recording: Rather Be, Clean Bandit featuring Jess Glyne
Best Dance/ Electronic Album: Syro, Aphex Twin
Best Contemporary Instrumental Album: Bass & Mandolin, Chris Thile and Edgar Meyer
Best Rock Performance: Lazaretto, Jack White
Best Metal Performance: The Last In Line, Tenacious D
Best Rock Song: Ain't It Fun, Hayley Williams & Taylor York
Best Rock Album: Morning Phase, Beck
Best Alternative Music Album: St. Vincent, St. Vincent
Best R&B Performance: Drunk In Love, Beyonce featuring Jay Z
Best Traditional R&B Performance: Jesus Children, Robert Glasper Experiment featuring Lalah Hathaway and Malcolm-Jamal Warner
Best R&B Song: Drunk In Love, Beyoncé featuring Jay Z
Best Urban Contemporary Album: Girl, Pharrell Williams
Best R&B Album: Love, Marriage & Divorce, Toni Braxton and Babyface
Best Rap Performance: I, Kendrick Lamar
Best Rap/Sung Collaboration: The Monster, Eminem featuring Rihanna
Best Rap Song: I, Kendrick Lamar
Best Rap Album: The Marshall Mathers LP2, Eminem
Best Country Solo Performance: Something In The Water, Carrie Underwood
Best Country Duo/Group Performance: Gentle On My Mind, The Band Perry
Best Country Song: I'm Not Gonna Miss You, Glen Campbell and Julian Raymond
Best Country Album: Platinum, Miranda Lambert
Best New Age Album: Winds Of Samsara, Ricky Kej & Wouter Kellerman
?Best Improvised Jazz Solo: Fingerprints, Chick Corea
Best Jazz Vocal Album: Beautiful Life, Dianne Reeves
Best Jazz Instrumental Album: Trilogy, Chick Corea Trio
Best Large Jazz Ensemble Album: Life In The Bubble, Gordon Goodwin's Big Phat Band
Best Latin Jazz Album: The Offense Of The Drum, Arturo O'Farrill and The Afro Latin Jazz Orchestra
Best Gospel Performance: No Greater Love, Smokie Norfu
Best Contemporary Christian Music Performance/Song: Messengers, Lecrae Featuring For King & Country
Best Gospel Album: Help, Erica Campbell
Best Contemporary Christian Music Album: Run Wild. Live Free. Love Strong, For King & Country
Best Roots Gospel Album: Shine For All The People, Mike Farris
Best Latin Pop Album: Tangos, Ruben Blades
Best Latin Rock, Urban or Alternative Album: Multiviral, Calle 13
Best Regional Mexican Music Album (Including Tejano): Mano A Mano - Tangos A La Manera De Vicente Fernández, Vicente Fernández
Best Tropical Latin Album: Más + Corazón Profundo, Carlos Vives
Best American Roots Performance: A Feather's Not A Bird, Rosanne Cash
Best American Roots Song: A Feather's Not A Bird, Rosanne Cash
Best Americana Album: The River & The Thread, Rosanne Cash
Best Bluegrass Album: The Earls Of Leicester, The Earls Of Leicester
Best Blues Album: Step Back, Johnny Winter
Best Folk Album: Remedy, Old Crow Medicine Show
Best Regional Roots Music Album: The Legacy, Jo-El Sonnier
Best Reggae Album: Fly Rasta, Ziggy Marley
Best World Music Album: Eve, Angelique Kidjo
Best Children's Album: I Am Malala: How One Girl Stood Up For Education And Changed The World (Malala Yousafzai), Neela Vaswani
Best Spoken Word Album (Includes Poetry, Audio Books & Storytelling): Diary Of A Mad Diva, Joan Rivers
Best Comedy Album: Mandatory Fun, Weird Al Yankovic
Best Musical Theatre Album: Beautiful: The Carole King Musical, Jessie Mueller, Jason Howland, Steve Sidwell and Billy Jay Stein
Best Compilation Soundtrack for Visual Media: Frozen, Kristen Anderson-Lopez, Robert Lopez, Tom MacDougall and Chris Montan
Best Score Soundtrack for Visual Media: The Grand Budapest Hotel, Alexandre Desplat
Best Song Written for Visual Media: Let It Go, Kristen Anderson-Lopez and Robert Lopez
Best Instrumental Composition: The Book Thief, John Williams
Best Arrangement, Instrumental or A Cappella: Daft Punk, Ben Bram, Mitch Grassi, Scott Hoying, Avi Kaplan, Kirstin Maldonado and Kevin Olusola
Best Arrangement, Instruments and Vocals: New York Tendaberry, Billy Childs
Best Recording Package: Lightning Bolt, Jeff Ament, Don Pendleton, Joe Spix and Jerome Turner
Best Boxed or Special Limited Edition Package: The Rise & Fall Of Paramount Records, Volume One (1917-27), Susan Archie, Dean Blackwood and Jack White
Best Album Notes: Offering: Live At Temple University, Ashley Kahn
Best Historical Album: The Garden Spot Programs, 1950, Colin Escott & Cheryl Pawelski and Michael Graves
Best Engineered Album, Non-Classical: Morning Phase, Beck
Producer of the Year, Non-Classical: Max Martin
Best Remixed Recording, Non-Classical: All Of Me (Tiesto's Birthday Treatment Remix), Tijs Michiel Verwest
Best Surround Sound Album: Beyoncé, Beyoncé
Best Engineered Album, Classical: Vaughan Williams: Dona Nobis Pacem; Symphony No. 4; The Lark Ascending, Michael Bishop
Producer of the Year, Classical: Judith Sherman
Best Orchestral Performance: John Adams: City Noir, David Robertson
Best Opera Recording: Charpentier: La Descente D'Orphée Aux Enfers, Paul O'Dette and Stephen
Best Choral Performance: The Sacred Spirit Of Russia, Craig Hella Johnson
Best Chamber Music/Small Ensemble: In 27 Pieces – 'The Hilary Hahn Encores, Hilary Hahn and Cory Smythe
Best Classical Instrumental Solo: Play, Jason Vieaux
Best Classical Solo Vocal Album: Douce France, Anne Sofie Von Otter and Bengt Forsberg
Best Classical Compendium: Partch: Plectra & Percussion Dances, Partch; John Schneider
Best Contemporary Classical Composition: Adams, John Luther: Become Ocean, John Luther Adams
Best Music Video: Happy, Pharrell Williams
Best Music Film: 20 Feet From Stardom, Darlene Love, Merry Clayton, Lisa Fischer and Judith Hill
Smith also received the prize for New Artist of the Year.
Elsewhere, Aphex Twin took the Best Dance/Electronic Album Award for Syro, while Clean Bandit featuring Jess Glynne received the Best Dance Recording prize for Rather Be.
The Producer of the Year accolade went to Max Martin, for his work with Jessie J, Katy Perry and Taylor Swift.
The Grammy Awards 2015 took place on 8 February. Madonna, Katy Perry, Rihanna, Kanye West and Sir Paul McCartney were among those performing at the Los Angeles ceremony.
Read our feature on Smith co-writer and producer Jimmy Napes.
Full winners’ list:
Record of the Year: Stay With Me, Sam Smith
Album of the Year: Morning Phase, Beck
Song of the Year: Stay With Me, Sam Smith
Best New Artist: Sam Smith
Best Pop Solo Performance: Happy (Live), Pharrell Williams
Best Pop Duo/ Group Performance: Say Something, A Great Big World with Christina Aguilera
Best Trditional Pop Vocal Album: Cheek To Cheek, Tony Bennett and Lady Gaga
Best Pop Vocal Album: In The Lonely Hour, Sam Smith
Best Dance Recording: Rather Be, Clean Bandit featuring Jess Glyne
Best Dance/ Electronic Album: Syro, Aphex Twin
Best Contemporary Instrumental Album: Bass & Mandolin, Chris Thile and Edgar Meyer
Best Rock Performance: Lazaretto, Jack White
Best Metal Performance: The Last In Line, Tenacious D
Best Rock Song: Ain't It Fun, Hayley Williams & Taylor York
Best Rock Album: Morning Phase, Beck
Best Alternative Music Album: St. Vincent, St. Vincent
Best R&B Performance: Drunk In Love, Beyonce featuring Jay Z
Best Traditional R&B Performance: Jesus Children, Robert Glasper Experiment featuring Lalah Hathaway and Malcolm-Jamal Warner
Best R&B Song: Drunk In Love, Beyoncé featuring Jay Z
Best Urban Contemporary Album: Girl, Pharrell Williams
Best R&B Album: Love, Marriage & Divorce, Toni Braxton and Babyface
Best Rap Performance: I, Kendrick Lamar
Best Rap/Sung Collaboration: The Monster, Eminem featuring Rihanna
Best Rap Song: I, Kendrick Lamar
Best Rap Album: The Marshall Mathers LP2, Eminem
Best Country Solo Performance: Something In The Water, Carrie Underwood
Best Country Duo/Group Performance: Gentle On My Mind, The Band Perry
Best Country Song: I'm Not Gonna Miss You, Glen Campbell and Julian Raymond
Best Country Album: Platinum, Miranda Lambert
Best New Age Album: Winds Of Samsara, Ricky Kej & Wouter Kellerman
?Best Improvised Jazz Solo: Fingerprints, Chick Corea
Best Jazz Vocal Album: Beautiful Life, Dianne Reeves
Best Jazz Instrumental Album: Trilogy, Chick Corea Trio
Best Large Jazz Ensemble Album: Life In The Bubble, Gordon Goodwin's Big Phat Band
Best Latin Jazz Album: The Offense Of The Drum, Arturo O'Farrill and The Afro Latin Jazz Orchestra
Best Gospel Performance: No Greater Love, Smokie Norfu
Best Contemporary Christian Music Performance/Song: Messengers, Lecrae Featuring For King & Country
Best Gospel Album: Help, Erica Campbell
Best Contemporary Christian Music Album: Run Wild. Live Free. Love Strong, For King & Country
Best Roots Gospel Album: Shine For All The People, Mike Farris
Best Latin Pop Album: Tangos, Ruben Blades
Best Latin Rock, Urban or Alternative Album: Multiviral, Calle 13
Best Regional Mexican Music Album (Including Tejano): Mano A Mano - Tangos A La Manera De Vicente Fernández, Vicente Fernández
Best Tropical Latin Album: Más + Corazón Profundo, Carlos Vives
Best American Roots Performance: A Feather's Not A Bird, Rosanne Cash
Best American Roots Song: A Feather's Not A Bird, Rosanne Cash
Best Americana Album: The River & The Thread, Rosanne Cash
Best Bluegrass Album: The Earls Of Leicester, The Earls Of Leicester
Best Blues Album: Step Back, Johnny Winter
Best Folk Album: Remedy, Old Crow Medicine Show
Best Regional Roots Music Album: The Legacy, Jo-El Sonnier
Best Reggae Album: Fly Rasta, Ziggy Marley
Best World Music Album: Eve, Angelique Kidjo
Best Children's Album: I Am Malala: How One Girl Stood Up For Education And Changed The World (Malala Yousafzai), Neela Vaswani
Best Spoken Word Album (Includes Poetry, Audio Books & Storytelling): Diary Of A Mad Diva, Joan Rivers
Best Comedy Album: Mandatory Fun, Weird Al Yankovic
Best Musical Theatre Album: Beautiful: The Carole King Musical, Jessie Mueller, Jason Howland, Steve Sidwell and Billy Jay Stein
Best Compilation Soundtrack for Visual Media: Frozen, Kristen Anderson-Lopez, Robert Lopez, Tom MacDougall and Chris Montan
Best Score Soundtrack for Visual Media: The Grand Budapest Hotel, Alexandre Desplat
Best Song Written for Visual Media: Let It Go, Kristen Anderson-Lopez and Robert Lopez
Best Instrumental Composition: The Book Thief, John Williams
Best Arrangement, Instrumental or A Cappella: Daft Punk, Ben Bram, Mitch Grassi, Scott Hoying, Avi Kaplan, Kirstin Maldonado and Kevin Olusola
Best Arrangement, Instruments and Vocals: New York Tendaberry, Billy Childs
Best Recording Package: Lightning Bolt, Jeff Ament, Don Pendleton, Joe Spix and Jerome Turner
Best Boxed or Special Limited Edition Package: The Rise & Fall Of Paramount Records, Volume One (1917-27), Susan Archie, Dean Blackwood and Jack White
Best Album Notes: Offering: Live At Temple University, Ashley Kahn
Best Historical Album: The Garden Spot Programs, 1950, Colin Escott & Cheryl Pawelski and Michael Graves
Best Engineered Album, Non-Classical: Morning Phase, Beck
Producer of the Year, Non-Classical: Max Martin
Best Remixed Recording, Non-Classical: All Of Me (Tiesto's Birthday Treatment Remix), Tijs Michiel Verwest
Best Surround Sound Album: Beyoncé, Beyoncé
Best Engineered Album, Classical: Vaughan Williams: Dona Nobis Pacem; Symphony No. 4; The Lark Ascending, Michael Bishop
Producer of the Year, Classical: Judith Sherman
Best Orchestral Performance: John Adams: City Noir, David Robertson
Best Opera Recording: Charpentier: La Descente D'Orphée Aux Enfers, Paul O'Dette and Stephen
Best Choral Performance: The Sacred Spirit Of Russia, Craig Hella Johnson
Best Chamber Music/Small Ensemble: In 27 Pieces – 'The Hilary Hahn Encores, Hilary Hahn and Cory Smythe
Best Classical Instrumental Solo: Play, Jason Vieaux
Best Classical Solo Vocal Album: Douce France, Anne Sofie Von Otter and Bengt Forsberg
Best Classical Compendium: Partch: Plectra & Percussion Dances, Partch; John Schneider
Best Contemporary Classical Composition: Adams, John Luther: Become Ocean, John Luther Adams
Best Music Video: Happy, Pharrell Williams
Best Music Film: 20 Feet From Stardom, Darlene Love, Merry Clayton, Lisa Fischer and Judith Hill