Michael Olise netted a hat-trick and Jamal Musiala also put a tough few months behind him with a spectacular strike -- but it was the England captain who ended up being the toast of Munich again with his latest landmark.
Kane converted a penalty on 39 minutes to bring up his century of goals in the Bundesliga from a record low 98 games.
He has taken 31 games fewer to reach the milestone than his nearest rival Dieter Muller, of Cologne, the German icon who took 129 matches to score his 100 back in 1977.
Since his arrival in 2023, Kane had been averaging a Bundesliga goal every 78.5 minutes and has now scored 152 in 154 appearances in all competitions, including 61 in 51 games last term.
Kane wasn't finished as he started off on his next hundred with another goal in the 54th minute, heading home from a delightful cross from Olise.
The champions climbed to the summit on 10 points from four games pending the weekend games, when Freiburg and Borussia Dortmund could extend their 100 per cent records and grab top spot.
Musiala broke his leg badly in July 2025 and was still not himself as Germany were dumped out of the World Cup this June in the last-32. The 23-year-old then collapsed on the pitch twice in two pre-season friendlies due to absence seizures.
He was taken out of the spotlight by Bayern coach Vincent Kompany but returned with a bang on 18 minutes when he let fly from the edge of the box with an unstoppable shot.
After Olise had been tripped, Kane scored from the spot. Then the French international took over, Olise netting with another superb shot before the break as Bayern, in a special Oktoberfest kit, got in the party mood.
Morocco's Ismael Saibari grabbed Bayern's fifth and his first Bundesliga goal, before Olise rounded off the thumping victory with two more goals in the 73rd and 76the minute.