Meanwhile, Fox's (FOXA) "12 Years a Slave" won the coveted award for best drama.
The achievements set up both films nicely for the Oscars - the nominations for which are due out on Thursday - and should help boost their box office receipts.
"They have a lot to gain from tonight," says BoxOffice.com's Phil Contrino. "'12 Years a Slave' could easily double its domestic gross" in the U.S. and Canada.
The awards for "American Hustle" come as Sony's film unit operates under intense scrutiny, particularly from Dan Loeb and especially after making an operating loss of $181M in FQ2.