The actress, who picked up a gong for her role in Les Misérables, joked that she is "thrilled" to have dental insurance as part of her membership of the Guild.
However, her speech became more emotional as she 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, and I have been the recipient of so much kindness and support from actors in this room and out of it.
"Thank you for nominating me alongside incredible women and incredible performers. Thank you for this award."
As well as paying tribute to her family, Hathaway offered her gratitude to her representatives - "I can't remember any of your names right now, but I love you," she quipped - and to her manager of 14 years, Suzan Bymel.
"You are wonderful and wondrous and we've been together longer than The Beatles, and that's so cool," she said.
"I learned so much from Dark Knight that I used in Les Mis. I love you guys, thank you."
She concluded her speech by thanking her husband Adam Shulman, joking: "I'll tell you why I love you later."
Hathaway has also been nominated for an Oscar for her role in Les Misérables and is due to perform with her co-stars at the ceremony on February 24.
Watch Anne Hathaway's SAG Awards acceptance speech below: