Rogne, who has just helped Norway Under-21s reach the semi-finals of the European Under-21s Championships in Israel, has put pen to paper on a three-year deal.
Rogne told the club's official website: "It's feels great to have joined the club, the process was quite short which was good and I'm looking forward to getting started now.
"It's an exciting chapter for me. English football is something special and being Norwegian we follow the game over here very closely, so to be a part of it makes me very happy.
"I've seen Wigan Athletic play quite a lot when the club was in the Premier League, and obviously the whole of Europe has been speaking about the club after the FA Cup win in May.
"I think many people have been charmed by the way the club is run and how the team plays, so it's great to be here."
Rogne made 50 appearances in three years at Celtic after joining from Norwegian club Stabaek in 2010. He has made two appearances for Norway's senior team.