The Old Trafford club made the announcement through the its official Twitter page on Thursday.
“Ole’s at the wheel! We can confirm that Ole Gunnar Solskjaer has been appointed as #MUFC manager,” Man United tweeted.
Solskjaer has won 10 out of the 13 Premier League games since his appointment as interim manager and reached the Champions League quarter-finals, where they will tackle Barcelona in April.
The Norwegian replaced the former Red Devils boss, Jose Mourinho, last December.
The 46-year-old had said in January that he does not want to leave the Old Trafford club once his contract expires at the end of the season.
Solskjaer said: “Of course, I won’t want to leave Man United, I don’t want to at the end of the season.
“It’s such a great bunch of players, atmosphere, but it’s the next game, it’s the next game, it’s the next game, and I’m doing my job as long as I’m here.
“I’m just thinking about the next game, because if you win four you can win another four with this club.
“That’s the challenge, that’s the standard we’re used to.”
Solskjaer’s men are currently in the fifth position on the Premier League table this season with 58 points from 30 games.
