Harry Kane continued his prolific start to life at Bayern Munich with a brace as the reigning Bundesliga champions held off a fightback from newcomers Heidenheim to claim a 4-2 victory.

Kane put Bayern in charge with two first-half goals – taking his tally to 21 in all competitions for the German giants – but the visitors threatened to stage a stunning upset as Tim Kleindienst and Jan-Niklas Beste struck within three minutes of each other after the break to draw level.

The drama continued as the hosts quickly regained their lead just minutes later through Raphael Guerreiro before Maxim Choupo-Moting’s header sealed victory for Thomas Tuchel’s men.

The three points sends Bayern top of the Bundesliga, one point ahead of Bayer Leverkusen who face Union Berlin on Sunday.

Bayern’s first chance came in the opening minutes following a Leroy Sane free-kick, which found Dayot Upamecano but the defender’s header flew wide and Sane went close himself just minutes later when his volley was blocked.

Kane’s impressive form continued as he put the hosts ahead in the 14th minute after Sane sprinted down the right flank to find the England captain in the box and he turned to fire into the corner.

Heidenheim had a chance to level moments later when Kleindienst smashed the ball wide and Sane nearly doubled the lead at the other end after being threaded through by Kane, but his effort flew wide.

Beste did well to cut in from the left but was unable to trouble the Bayern defence when his shot missed the target before Bouna Sarr had an excellent chance for the hosts saved by Kevin Muller.

Sane and Kane’s fantastic partnership struck again in the 44th minute as the winger’s corner picked out Kane in the box and he rose highest to head home into the top corner, earning his 17th league goal of the season.

Kane nearly claimed a third successive Bundesliga hat-trick in the 58th minute after Sane played him through but Muller did well to block the shot with his leg.

With Bayern seemingly well on course for victory, Heidenheim suddenly mounted a quick comeback with two goals in three minutes.

They pulled one back in the 67th minute on the break when Eren Dinkci picked out Kleindienst at the back post and he made no mistake this time.

The promoted side then equalised when a mistake from Bayern defender Kim Min-jae saw Beste pounce on a loose pass to fire over Manuel Neuer, but the frantic action continued as Bayern retook the lead two minutes later.

A brilliant cross by Konrad Laimer found Choupo-Moting and, although Muller reacted well to save his effort, Guerreiro raced onto the rebound to blast the ball into the bottom corner, scoring his first Bayern goal.

On the hunt for another treble, Kane fired over the bar before having an effort blocked but an unmarked Choupo-Moting put the game to bed in the 85th minute, nodding the ball into the bottom corner.