Michael Douglas, who played the flamboyant music icon in the film, was named Best Actor in a TV Movie or Miniseries.
In his acceptance speech, Douglas acknowledged his co-star and fellow Globe nominee Matt Damon, who played Liberace's longtime boyfriend Scott Thorson.
"The only reason you're not here is because I had more sequins," Douglas joked with Damon, who was sitting in the audience.
Among the other people Douglas thanked in his speech were the movie's director Steven Soderbergh, with whom he previously worked on the film "Traffic," as well as his wife, Catherine Zeta-Jones, and their two children.
"Top of the Lake" star Elisabeth Moss earned the prize for Best Actress in a TV Movie or Miniseries, while Jon Voight won the Best Supporting Actor in a TV Series, Movie or Miniseries accolade for his performance in "Ray Donovan" and Jacqueline Bisset won the Supporting Actress statuette for her work in "Dancing on the Edge."