The Red Devils secured their first signing of the summer after they agreed a £30.7m deal with Benfica for the 22-year old Swede.
And Lindelof, who spent five seasons with the Lisbon club, believes he has made a life-changing decision by moving to Old Trafford.
In regards to the move, Lindelof said: "It feels great, and I'm very happy to be here at this great club. I couldn't be happier.
"Of course, it feels great knowing that the coach wants you, so to finally be here I'm very happy.
"Of course, United is one of the biggest clubs in the world and they always want to win titles, so that is also my goal.
"I want to come here and win titles. That is the goal of the club and the players as well.
"I think for everyone who is joining this club, it is changing [their life]. There are a lot of [United] supporters in Sweden."