Harry Kane scored twice to surpass the 400-goal mark for his senior career and guide Bayern Munich to a 2-1 Bundesliga victory over Eintracht Frankfurt on Saturday.

The Bavarians, who saw Bayer Leverkusen end their 11-year-Bundesliga reign by securing the league crown two weeks ago, have only the Champions League trophy to fight for with departing coach Thomas Tuchel eager to leave on a high note.

Bayern warmed up for Tuesday's semi-final first leg against Real Madrid with three points at the Allianz Arena, denting Eintracht's hopes of European qualification in the process.

They went in front with Kane tapping in after a fine run from Konrad Laimer in the ninth minute, though the Austrian had to be taken off injured later on.

Eintracht levelled in the 23rd minute with Hugo Ekitike's shot from 18 yards out but Kane restored order with a penalty just past the hour for his 35th league goal of the campaign.

It was his 400th career goal at senior level for club and country and his 42nd this season across all competitions, a personal best for the England captain.

The hosts also had to take off defender Matthijs de Ligt at half-time after he was on the wrong end of some rough challenges, potentially giving Tuchel another selection headache ahead of Tuesday's tussle with Los Blancos.

Bayern remain in second place with three games left to play on 69 points, 11 behind Leverkusen, who are in action against third-placed Stuttgart later on Saturday.