The Bavarians, who face Celtic in their Champions League playoff first leg next week for a spot in the round of 16, had their best chance of the first half through Kane but his stoppage time header narrowly missed the target.

The league’s leading scorer got even closer 25 seconds after the restart, rattling the crossbar with a powerful shot but it was third time lucky for him in the 56th minute when he converted a penalty.

Dayot Upamecano thought he had headed in their second goal minutes later but Werder keeper Michael Zetterer spectacularly palmed his point-blank effort wide.

Leroy Sane did it better in the 83rd, tapping in a Konrad Laimer cutback to put the game to bed before Zetterer stopped efforts from Kane and Laimer late in the game to keep the scoreline low.

He was beaten, however, for a second time from the spot with Kane’s stoppage-time penalty for his 21st league goal.

Bayern are on 54 points, nine ahead of champions Bayer Leverkusen in second place, who are in action on Saturday at VfL Wolfsburg.