The 24-year-old right back has joined the London side on a four-year deal and Fulham manager Roy Hodgson told the Cottagers' official website: "I am delighted that Fredrik has joined us officially today.
"He is a player I have followed for some time through my contacts with the Swedish national team. I watched him closely with his club side and we did a lot of research on him.
"Of course I had the opportunity to see him at close hand in the three matches that Sweden played in Euro 2008. and we decided that this was the player for us at right back. Certainly with John Pantsil and Fredrik Stoor we have excellent cover for that position for the coming season."