Bayern said the 30-year-old striker was signed until 2027 after protracted talks between the two clubs.
Stuttgart stumble to 1-1 against Union, miss out on top three
Barcelona won 3-1 at Alaves in La Liga on Saturday thanks to goals by Robert Lewandowski, Ilkay Gundogan and substitute Victor Roque, who was sent off after picking up a second yellow card.
The 33-year-old England international joined City from fellow Premier League club Tottenham Hotspur in 2017 and will reportedly sign a two-year contract extension, with his current deal set to expire in 2024.
Neuer, David Alaba, Jerome Boateng and Thomas Muller were a part of the Bayern Munich squad that won the Champions League in 2013, defeating Borrusia Dortmund in the final.
Numerous players and coaches, including England captain Harry Kane, have voiced concern over player welfare with the revamped Club World Cup meaning less time off between seasons.
Real, chasing a 15th European Cup, levelled in the 83rd with Vinicius's penalty, after Rodrygo was felled by a clumsy challenge from Kim Min-jae, to set up a mouth-watering return leg in Madrid next week.
Bayern Munich's record signing Harry Kane scored once and set up another goal on his Bundesliga debut to steer the champions to a 4-0 victory at Werder Bremen.
IMAGES from football matches played across Europe on Friday.
The city of Paris will show its support for Paris St Germain during their date with destiny in Saturday's Champions League final against Inter Milan.
A summary of Tuesday's action in the UEFA Champions League Knock-out Phase play-offs.
IMAGES from the UEFA Champions League matches played on Wednesday
I'm not sure how the stoppage will affect everybody, but Bayern Munich may have a slight advantage because they are playing football now and they are getting their match sharpness back, I wouldn't be surprised if they are now the favourites'
Robert Lewandowski broke Gerd Mueller's 49-year-old Bundesliga goal-scoring record
Roundup of the matches being held across major football leagues in Europe
Bayer Leverkusen have sacked manager Erik ten Hag after two league games in charge, the Bundesliga club said on Monday, with the weekend draw at Werder Bremen not enough to save the Dutchman's job.
Bayern Munich forward Robert Lewandowski was named The Best FIFA Men's Player 2020 on Thursday, beating off competition from last year's winner Lionel Messi and Cristiano Ronaldo.
A Dani Carvajal strike in the ninth-minute of stoppage time rescued Real Madrid, earning them a 3-2 comeback win at home against bottom side Almeria on Sunday in a frantic LaLiga tussle that was marked by VAR controversy.
Images from the Champions League Round of 16 matches.
A summary of Wednesday's action in the UEFA Champions League.
Bollywood star Kartik Aaryan spent some time with Bayern Munich stars Harry Kane and Thomas Mller during his visit to Munich.
Piotr Zielinski converted two penalties for Inter Milan as they played out a thrilling 4-4 draw with Juventus.
Bayern CEO Jan-Christian Dreesen said there would a 'a new direction' next season with a new coach.
IMAGES from UEFA Champions League matches played on Wednesday
According to the BCC, the prince has been a supporter of Aston Villa since his school days.
Real Madrid will play local rivals Atletico Madrid while Bayern Munich were drawn against Bundesliga title challengers Bayer Leverkusen on Friday.
Rodrygo and new recruit Jude Bellingham scored first-half goals to give Real Madrid a 2-0 win at Athletic Bilbao to kick off their LaLiga season.
IMAGES from the UEFA Champions League second semi-final played at Estadio Jose Alvalade in Lisbon on Wednesday.
City forward Erling Haaland, who had missed a first-half penalty, made amends in the 57th minute
IMAGES from the UEFA Champions League matches played on Wednesday
Late Tchouameni header gives Real Madrid 2-1 Las Palmas win and top spot
Real Madrid beat holders Manchester City in an edge-of-your-seat 4-3 shootout victory to reach the semi-finals of the Champions League.
Bayern Munich midfielder Thomas Mueller has tested positive for COVID-19 and will miss the Club World Cup final against Mexico's Tigres UANL on Thursday
Mouth-watering matches lined up as PSG to face Bayern and Barcelona in Champions League opening stage.
Borussia Dortmund centre back Mats Hummels has told his club that he wants to join Bundesliga leaders Bayern Munich after the season ends.
A round-up of Saturday's action the Bundesliga, Ligue 1
IMAGES from the Champions League matches played on Wednesday
Manchester City's Erling Haaland came back to haunt Borussia Dortmund with a clinical finish against his former team, while Phil Foden bagged a brilliant brace as the hosts cruised to a 4-1 win in the Champions League on Wednesday to climb to fourth.
'We've been talking during this week and now it's the right moment to announce it.'
There was something appropriate in the way that Bayern Munich's Joshua Kimmich celebrated his team's Champions League triumph over Paris St Germain on Sunday. More than 90 minutes after the final whistle had blown on the 1-0 victory, Kimmich sat in the centre circle, in front of 65,000 empty seats at the Estadio da Luz, banging on a drum.