As revealed in SportTimes earlier this week, the Norwegian is the man the Hoops board have chosen to replace Neil Lennon in the dugout.
He has put pen to paper on a 12-month rolling contract after Parkhead chief executive Peter Lawwell thrashed out a compensation deal, believed to be worth around £300,000, with Stromsgodset last night.
Deila said: “It’s a magnificent honour to be named the new manager of Celtic, one of the world’s great football clubs and a club I have such enormous respect for.
“I will treasure this opportunity and will give everything I have to achieve success for Celtic and our wonderful fans.
“I know what I want for Celtic and our supporters and that is the best of everything, it is what our fans deserve.
“I want to deliver the best attacking, exciting and entertaining football we can play, for the players to give their best every time they take to the field and, of course, I want my players to work with me to achieve the best results possible and bring trophies to Celtic.
“Celtic is in great shape and the club has enjoyed real success in recent years due to the hard work of Neil and his team.
“I want to carry on this work and continue to bring happy times to Celtic. I can’t wait to get started on this journey.”
Deila was presented to the media at Parkhead this afternoon after Celtic brought the curtain down on a high-profile search for their new boss.
Henrik Larsson, Roy Keane and Steve Clarke have all been linked with the Hoops top job in recent weeks after Lennon’s shock departure.
But Lawwell is confident the Celtic board have made the right call after placing their faith in 38-year-old Deila.
He said: “We believe Ronny will prove to be a fresh and dynamic new manager and someone who will give us a bright and energetic way forward for Celtic.
“Knowing that he was so highly rated across Europe, Ronny was one of the first candidates we considered as manager and having discussed the opportunity with him at length, we are convinced he has the talent and the determination to deliver very positive results for the club and our supporters.
“Ronny likes to play attacking, winning football, the Celtic way, something I know our supporters will endorse.
“As the new season begins, I am sure our fans will get right behind Ronny and the players once again as we aim to bring success to Celtic and continue to deliver a club they can be proud of.”
Meanwhile, McBookie are offering 11/2 Deila will win the Treble in his first season.