"Oh my goodness, oh my goodness!," said Moore, 54, as she received the award Sunday night during a ceremony at the Beverly Hills Hilton. "Thank you so much, Hollywood foreign film press! When Lisa Genova wrote this book [on which the film is based], she told me that no one wanted to make it into a movie because no one wanted to to see a movie about a middle-aged woman."
Moore went on to thank Sony Classic Films and those involved who "wanted to make movies to celebrate who we are, what we value and who we love. My mother always told me a happy person was someone who had work and love." She then thanked her family for "all that love."
As Dr. Alice Howland, Moore played a Columbia University linguistics professor diagnosed with early-onset Alzheimer's disease. As her condition progresses, she loses the words she so lovingly built her life around.
Moore’s moving performance received critical raves leading up to her Globes win. Written and directed by Wash Westmoreland and Richard Glatzer, the Sony Picture Classic film costars
Backstage at the Globes, Moore said she was most inspired by her "Still Alice" character's push to remain present.
"This is a woman who chooses to inhabit her life no matter what her life is," the actress said. "Not get ahead of it, not get behind it. But try to be in it. That to me is truly beautiful. That's really all we have."
Moore received a Golden Globe in 2012 for actress in a miniseries for her portrayal of former Vice Presidential candidate
Her win comes in a year noted for strong roles for women in film and TV.
Moore's competition at the Globes included Reese Witherspoon for her performance in "Wild," a film based on memoirist Cheryl Strayed's solo hike across the Pacific Crest Trail.
Jennifer Aniston was also up for the same award for her performance in the indie production "Cake." Many considered the drama a breakthrough for the former sitcom actress, who's known more for her comedic skills in films and on "Friends" than her work in dramas.
Felicity Jones was nominated in the category for her performance as Jane Wilde-Hawking in "The Theory of Everything," and Rosamund Pike was nominated for her part in "Gone Girl."
Times staff writer Yvonne Villarreal contributed to this report.