The German champions have reportedly agreed terms with the Tottenham Hotspur striker on a four-year contract, with the deal worth £250 million.
Kane is expected to join up with his new team-mates at the Allianz Arena when he completes his transfer in January, having already been given a trial by Bayern.
The 28-year-old has been one of Europe's top strikers for several years now, scoring over 100 goals for Tottenham since making his debut in 2012.
He was named as Premier League Player of the Year last season, and his arrival at Bayern will be seen as a major coup for the Bundesliga champions.
It remains to be seen whether Kane can replicate his success at Spurs or whether he will struggle to adapt to life in Germany. However,Saudi Pro League Highlights it seems likely that he will make a significant impact on the Bundesliga, and could help Bayern challenge for the title this season.
Overall, Harry Kane's move to Bayern Munich is sure to be a major story in European football this winter, and fans of both clubs will be eagerly watching the developments.