"Now I have this naked statue that means some of you even voted for me, and that is an indescribable feeling," Lawrence said after explaining she earned her SAG card at age 14 by filming a spot for MTV.
Hathaway won for her role as a doomed single mother forced into prostitution in the adaptation of the stage musical based on Victor Hugo's epic novel. Her win came over four past Oscar recipients — Sally Field, Helen Hunt, Nicole Kidman and Maggie Smith.
"I'm just thrilled I have dental," Hathaway said. "I got my SAG card when I was 14. It felt like the beginning of the world. I have loved every single minute of my life as an actor. ... Thank you for nominating me alongside incredible women and incredible performances."
Jones, who was not at the show, won for his turn as abolitionist firebrand Thaddeus Stevens in the Civil War epic. The win improves his odds to become a two-time Academy Award winner. He previously won a supporting-actor Oscar for "The Fugitive."
Day-Lewis, a two-time Oscar winner for "My Left Foot" and "There Will Be Blood," could become the fifth actor to earn three Oscars, along with Meryl Streep, Jack Nicholson, Ingrid Bergman and Walter Brennan. Katharine Hepburn has the acting record with four Oscars.
Backstage at SAG, Day-Lewis was hardly ready to predict a third Oscar win.
"There's a good chance I won't. I feel the same way at all these occasions. Mostly, we're traveling as a group, the fellow nominees, give or take one here or there," Day-Lewis said. "I would happily recognize any single one person whose name is called."
On SAG's television side, with "30 Rock" ending its run, its stars Tina Fey and Alec Baldwin won the SAG awards for best comedy performers. It was Baldwin's seventh-straight win, while Fey earned her fifth SAG prize.
"Oh, my God. It's ridiculous," Baldwin said. "It's the end of our show, which is sad. Everybody is sad about that. It was the greatest experience I've ever had."
Fey gave a plug for the show's finale airing Thursday, noting that it's up against "The Big Bang Theory."
"Just tape 'The Big Bang Theory' for once, for crying out loud," Fey said.
"Modern Family" won for best overall cast in a TV comedy show. Accepting for the cast, "Modern Family" co-star Jesse Tyler Ferguson offered thanks to the makers of "30 Rock" and another departing series, "The Office," saying "you all have set the comedy bar so high."
The TV drama acting awards went to Claire Danes of "Homeland" and Bryan Cranston of "Breaking Bad." ''Downton Abbey" won the TV drama cast award.
Julianne Moore's turn as Sarah Palin in "Game Change" earned her the TV prize for best actress in a movie or miniseries. Kevin Costner won for best actor in a movie or miniseries for "Hatfields & McCoys."
Receiving the guild's life-achievement award was Dick Van Dyke, who presented the same prize last year to his "The Dick Van Dyke Show" co-star, Mary Tyler Moore.
After waiting on stage for a prolonged standing ovation to end, Van Dyke said, "That does an old man a lot of good."
Associated Press writers Beth Harris, Christy Lemire and Anthony McCartney contributed to this report.