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Kane, who scored a hat-trick last week, struck twice in this match, including a record-extending first-half penalty.

The spot-kick put Bayern 2-0 up in the 44th minute, his 18th consecutive success from 12 yards in the Bundesliga for a flawless record.

Jonathan Tah had given the hosts a deserved lead in the 22nd with a deflected backheel flick.

Kane added his historic second in the 65th, pouncing on a deflected Luis Diaz shot to drill in from close range and reach his century of goals in 104 matches across all competitions for Bayern.

"Another great performance," Kane said. "We had a good start to the game, we could've scored a goal or two early in the game. We then grew into the game and got the goals. It was another dominant performance."

Kane's performances for Bayern this season have fanned speculation about a possible move back to the Premier League through an exit clause in his contract.

However, Kane, whose deal with Bayern currently runs to 2027, said he was not thinking of a return at this stage.

"No, not at the moment. I'm really happy here. I have two years left on my contract," Kane said.

"I'm enjoying every moment. That is not in my thought process. I'm enjoying it with the team, with the coach, and hopefully we continue to be successful."

The 32-year-old, who is the leading Bundesliga scorer this season with 10 goals in Bayern's five games so far, joined the German giant from Tottenham Hotspur in 2023.

Werder had goalkeeper Karl Hein to thank for keeping the scoreline somewhat respectable after he made close to a dozen crucial saves, including stopping Kane and substitute Nicolas Jackson in one-on-ones.

But the Estonian keeper could do nothing when Konrad Laimer slipped through with a quick one-two to finish off a move in the 87th for Bayern's 22nd league goal, sealing the win.

Kane has been nothing short of a sensation during his two years so far in Germany, and his latest milestone is further proof of this.

In reaching 100 goals for Bayern in 104 games, he has surpassed Cristiano Ronaldo (105 matches for Real Madrid) and Erling Haaland (105 matches for Manchester City) as the quickest to get to that milestone on record in the big five European leagues.

He also now holds the Bundesliga record for the most consecutive penalty kicks scored (18), exceeding Jorg Butt (1999 to 2001) and Robert Lewandowski (2013 to 2018), who both scored 17 in a row.

Bayern, which takes on Pafos in Cyprus in the UEFA Champions League next week, is not surprisingly still in top spot in the Bundesliga with 15 points.

Second-placed Borussia Dortmund, with 10 points, will look to close the gap when it plays Mainz on Sunday (AEST).