Kane leaves Tottenham Hotspur after 19 years with the club, moving on to a new challenge in Germany with Bayern.
He played 435 competitive games for Spurs and scored 280 goals, making him the club's record goalscorer.
Kane was Premier League top scorer in 2016, 2017 and 2021 and has the second-highest total in league history after Alan Shearer.
His departure means the Premier League's all-time goals record held by Shearer is safe for now, although Kane was hesitant to say goodbye forever in a video posted to his Instagram page.
Upon signing for Bayern, Kane admitted: "I'm very happy to be a part of FC Bayern now.
"Bayern is one of the biggest clubs in the world, and I've always said that I want to compete and prove myself at the highest level during my career .
"This club is defined by its winning mentality - it feels very good to be here."
"I felt like it was the time to leave. I didn't want to go into the season with a lot of unresolved future talk," Kane posted on social media.
"Obviously a lot of emotions going through me right now; sad to be leaving the club I've spent nearly 20 years of my life at, from 11-year-old boy to a 30-year-old man now.
"There's been so many great moments and special memories, memories that I will cherish forever."
'Fresh challenge'
Silverware is all but guaranteed at Bayern, who have won 11 straight Bundesliga titles.
The club won the Bundesliga in each of Lewandowski's eight seasons in Munich, with the Pole averaging 30 goals per season. In 2022-23, not one Bayern player hit the 15 league goal mark.
Kane has scored more than 20 league goals in all but three of the past nine Premier League seasons, winning the Golden Boot on three occasions.
Despite finishing second in last season's Premier League scoring charts behind Erling Haaland (36), Kane netted 30 league goals in 2022-23, equalling his best mark.
Bayern were eliminated by eventual winners Manchester City in the quarter-finals of the Champions League last season and only won the Bundesliga title on goal difference thanks to a final-day capitulation from Borussia Dortmund.
Kane had been linked with a move away from his boyhood club two years ago but Manchester City failed in their pursuit.
Spurs chairman Levy said the club had "reluctantly agreed to the transfer".
"We sought over a long period of time to engage Harry and his representatives in several forms of contract extension, both short and long term," Levy said.
"Harry was clear, however, that he wanted a fresh challenge and would not be signing a new contract this summer. We have reluctantly, therefore, agreed to his transfer.
"We have seen a product of our academy system become one of the best players to ever pull on a Spurs shirt and become one of world football's elite strikers. It has been a truly remarkable journey."
After protracted negotiations between Bayern and Spurs' chairman Daniel Levy a deal was finally struck on Thursday.
Kane flew to Munich on Friday evening to complete the traditional medical where he was greeted by a multitude of Bayern fans before putting pen to paper on his new contract.
Six-time European champions Bayern were in desperate need of a striker after struggling to replace Robert Lewandowski who left for Barcelona last season.
The reported fee for Kane is a Bundesliga record £86 million plus €10 million in bonuses.
Kane, who was out of contract next summer, leaves Tottenham having scored 280 goals in 435 games to become the club's all-time leading goalscorer, but without a trophy.
The Englishman will be hoping to win his first silverware with the club later on Saturday when they take on RB Leipzig in the German Super Cup.
