The new deal will keep them Arsenal and Manchester United target at the club until the summer of 2013.
Hodgson told the club’s official website: “I am delighted that Brede has been justly rewarded with a new deal and that he has committed his future to Fulham until 2013.
“He is an extremely important player for us and a model professional, so we are all very happy that he will be at Fulham for the long term. I would also like to thank the Chairman for again showing his dedication to the Club he has invested so much in, by offering this new deal.
“We have some very important games coming up and this news will give a boost to everyone here, so we’ll focus on Bolton this weekend, and I know the fans will show their appreciation tomorrow.”
