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Kane scored his 54th and 55th top-flight goals, more than any player has managed to score in 50 appearances in German top-flight history.

Bayern was in front in the 19th minute after a slick move on the edge of the box saw Michael Olise cut the ball back for Jamal Musiala to sweep home.

The hosts entered the break two goals ahead when Kingsley Coman’s delicate cross was powered past Timon Weiner by the head of Kane in first-half stoppage-time.

After just 44 seconds of the second half, Kane grabbed his brace with another well-taken header, brushing off his marker to glance his effort into the net.

Bayern’s victory was all-but sealed eight minutes later when Serge Gnabry, on to replace Olise, brilliantly took the ball down in the area and fired into the roof of the net.

Holstein Kiel, however, reduced the deficit just after the hour through Finn Porath, who took aim and fired a right-footed strike beyond the grasp of Manuel Neuer.

That sparked the visitord into life, with substitute Steven Skrzybski striking twice in second-half stoppage-time, but Bayern was able to hold on for the win.

The result saw Vincent Kompany's side move nine points clear at the summit, with second-placed Bayer Leverkusen in action against Hoffenheim on Monday (AEDT).

Since joining Bayern back in 2023, Kane has so often been the difference for the club, with his brace adding yet another record to his ranks, but it is trophies that he craves the most.

The England captain scored one of his seven Bundesliga hat-tricks against Kiel earlier this season, and has now only scored more goals against Stuttgart and Augsburg (both six) since his arrival in the German top-flight.

Kompany quipped that Kane is "just unusual" when it comes to his goalscoring prowess.

"His quality is just unusual," Kompany said.

"But it is also his mentality. How calm he remains, how hard he works if sometimes he does not score for a game. It is impressive."

Kane himself was as humble as ever.

"It was fun, it was a good game for me," he said.

"The goals before and immediately after half-time were crucial for us. February will be very important for us, with many games against strong opponents, we have to be ready for that. We'll need the full squad for it."

Kompany, though, was far from impressed with how his team finished the match, with Bayern conceding twice late on.

"Of course, I think for us for 80 minutes, to be able to lead at home 4-1 it was a pretty complete game until that point.

"The way we finished the game in the last 10 minutes is something we need to review with the players.

"You can sometimes concede a goal but if you concede momentum you give the other team a chance and that is what happened."