Tottenham forward Harry Kane in action during pre-season
Kane, 30, has one year left on his contract with Spurs and must now make a decision about whether or not to leave.
The forward is Tottenham's all-time top scorer with 280 goals in 435 appearances.
Kane was linked with Manchester United earlier this summer before Bayern made him their main target.
The striker's future in London has been uncertain for several seasons while a number of Bayern bids were rejected earlier this summer.
Most recently, Spurs turned down an offer on Monday and the Bundesliga champions suggested on that occasion an unsuccessful bid would force them to move on to other targets.
Tottenham chairman Daniel Levy has repelled interest in Kane numerous times over the years, including in 2021 when Premier League champions Manchester City tried to sign the striker.
It was also unclear whether Levy would have been willing to sell Kane to another Premier League team, suggesting earlier this year he would not do business with either of the Manchester clubs.
But with Kane unwilling to sign a new deal with Spurs, it seems Levy has decided selling now is the best option for the club rather than losing him for free next year.
Kane, who came through Spurs' academy, has played for the club during pre-season while negotiations with Bayern took place, with his last appearance coming against Shakhtar Donetsk on Sunday.
New Tottenham manager Ange Postecoglou had promised to sell Kane his "vision" for the club following his appointment this summer, saying he wanted the striker to stay in north London.
Kane has won the Premier League Golden Boot three times - in 2015-16, 2016-17 and 2020-21 - since making his debut for the club in 2012.
With 213 goals from 320 Premier League games, Kane needs just 48 more to break Alan Shearer's scoring record.
Yet England's all-time leading scorer - with 58 international goals - has never won a major trophy with club or country.
Bayern, on the other hand, are regular silverware winners in Germany.
Thomas Tuchel's side claimed their 33rd Bundesliga title last season - an 11th in a row - and have won the Champions League six times and German Cup on 20 occasions.
-- Courtesy of BBC Sport