Colin Firth plays a stammering King George VI in the film
Continue reading the main story
The ceremony on Saturday was just one of a steady stream heading up to the Oscars on 27 February.
The King's Speech has already notched up a best actor Golden Globe for its star Colin Firth.
The film, directed by Tom Hooper, has also been nominated for 14 Bafta Film Awards, which will be held on 13 February in London.
The drama also has four nominations for the Screen Actors Guild Awards, to be held in LA on 30 January.
The film tells the story of King George's VI battle to overcome a debilitating stammer with the help of an unorthodox speech therapist, played by Geoffrey Rush.
The film also stars Helena Bonham Carter as the king's wife, Queen Elizabeth, to be known later as the Queen Mother.
Saturday's win further boosts The King's Speech's chances of success at the Academy Awards, for which the nominations will be announced on Tuesday.
But while Firth is expected to lead the way in the best actor category, The Social Network is tipped to take the top prize of best
film.
Other winners at the Producers Guild awards included Toy Story 3, which was named best animated feature, while Waiting for Superman won best documentary.
In television, Mad Men won best drama series for the third consecutive year, and Modern Family won best comedy. The Pacific won in the best TV movie or mini-series category.
