Six years after winning album of the year for Fearless, Swift became the first female artist to win the category twice, with 1989 taking the top prize. 1989 also won pop vocal album and Swift earned a third trophy - her 10th overall - for best music video for "Bad Blood," which she shared with Lamar.
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Swift used her acceptance speech to throw some major shade at Kanye West, who, lest we forget, had this choice line in his new song "Famous": "I feel like me and Taylor might still have sex / Why? I made that bitch famous."
"And as the first woman to win album of the year at the Grammys twice, I want to say to all the young women out there, there are going to be people along the way who will try to undercut your success or take credit for your accomplishments or your fame," she said.
"But if you just focus on the work and you don't let those people sidetrack you, someday, when you get where you are going, you will look around and you will know that it was you and the people who love you who put you there. And that will be the greatest feeling in the world. Thank you for this moment."
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Lamar, who led the field with 11 nominations, won the first award of the telecast: best rap album for To Pimp a Butterfly. In addition to best music video, he received three other awards in the pre-show: rap performance and rap song for "Alright," and rap/sung collaboration for "These Walls" with Bilal, Anna Wise and Thundercat.
After a rousing performance of "Alexander Hamilton," the cast of Hamilton won best musical theater album, which led to an even better performance from creator/star Lin-Manuel Miranda, who rapped his acceptance speech.
Other multiple winners were three-time champs Alabama Shakes (rock performance and rock song for "Don't Wanna Fight" and alternative music album for Sound & Color), and two-time winners The Weeknd (R&B performance for "Earned It [Fifty Shades Of Grey]" and urban contemporary album for Beauty Behind the Madness) and Chris Stapleton (country album for Traveller and country solo performance for the title track).
Earlier winners of the day include Little Big Town (country song and duo/group performance for "Girl Crush"), Louis C.K. (comedy album for Live at Madison Square Garden) and Justin Bieber, who won his first career Grammy, in dance recording for "Where Are Ü Now" with Skrillex and Diplo.
See the winners from the telecast below:
Album of the Year: 1989, Taylor Swift
Record of the Year: "Uptown Funk," Mark Ronson feat. Bruno Mars
Song of the Year: "Thinking Out Loud," Ed Sheeran (Ed Sheeran and Amy Wadge, songwriters)
Best New Artist: Meghan Trainor
Best Rock Performance: "Don't Wanna Fight," Alabama Shakes
Best Rap Album: To Pimp a Butterfly, Kendrick Lamar
Best Country Album: Traveller, Chris Stapleton
Best Musical Theater Album: Hamilton