Bayern Munich have won a 10th successive Bundesliga title after getting the better of Borussia Dortmund at the Allianz Arena.
It represents a perfect league start for Julian Nagelsmann in his first season in charge and may go some way to compensating for the Bavarian side's Champions League elimination at the hands of Villarreal. Bayern's vastly superior goal difference meant a point would realistically have been enough, but the win made the title a mathematical certainty.
Serge Gnabry got the champions off the mark with a stunning volley from the edge of the area, with Robert Lewandowski doubling the lead before half-time. Emre Can gave Dortmund hope from the penalty spot, but a late Jamal Musiala goal ensured Nagelsmann's side claimed victory.