The Red Devils have been courting the world class talent for a number of years and have finally taken the leap to bring him to Old Trafford.
Schweinsteiger has penned a three-year deal and will make history as he becomes the first German player to play for the club.
The deal was completed a year to the day since the 30-year-old lifted the World Cup, with victory over Argentina in Brazil.
The Germany international will now link up with Dutch tactician Louis van Gaal for the second time in his career after first meeting the veteran tactician at Bayern.
Van Gaal played a huge role in developing Schweinsteiger into the player he has become, as he was previously used on the right wing.
The 63-year-old will be hoping to get a good few seasons of service out of the midfielder in a central role, filling the void left by the retirement of Paul Scholes a few years ago.
United have struggled to find someone who can step up and control the middle third of the pitch, although Michael Carrick has shown positive signs.
The England international put in some solid displays last term but is two years the senior of Van Gaal’s new signing and trailed him in terms of statistics.
Schweinsteiger made an average of 1.7 tackles per game last season, while Carrick completed 1.4 per game.
He also averaged more than 66 passes per game, including 1.6 key passes, compared to the Englishman, who offered 60.5 per game with just 0.4 key passes.
The arrival of the midfielder leaves LVG with a headache in terms of team selection as he has also added further signings in midfielder Morgan Schneiderlin, forward Memphis Depay and defender Matteo Darmian.
Van Gaal knows that he can trust Schweinsteiger in a number of different roles and recognises that his experience could be crucial in mounting a challenge for silverware.
Van Gaal said: “Bastian is, of course, no stranger to me. I worked with him during my time at Bayern Munich and I am truly delighted he is joining Manchester United.
His record speaks for itself; he has won every honour at club level and was a major part of the successful Germany World Cup-winning team last summer.
“Bastian is the ultimate professional and there is no doubting his talent and his ability to control games. He brings a wealth of experience and is an excellent addition to our squad.”
One concern for United fans may be the fact that the veteran struggled with injuries last term and was restricted to just 20 Bundesliga outings, with five of those coming from the bench.
Fellow new signing Schneiderlin may be seen as more of a long-term saviour for the club at the age of 25, but Schweinsteiger will undoubtedly help to steady the ship for the next few seasons.
At a price under £15million, United look to have secured what could be the deal of the season especially when considering the midfielder’s talent for collecting trophies.
Van Gaal’s main aim for next term will be to close the gap on the likes of Arsenal, Manchester City and Chelsea and, with four new faces through the door, it is now over to the other title contenders to play their hand.