Bayern Munich 0-3 Borussia Dortmund

Bayern Munich suffered back-to-back Bundesliga defeats for the first time since November 2011 as Borussia Dortmund cruised to victory.

Pep Guardiola's champions fell behind after Henrikh Mkhitaryan coolly stroked home a fine left-foot finish.

Bayern were 2-0 down at the Allianz Arena when Marco Reus scored after Franck Ribery lost possession.

Dortmund wrapped up the points when Jonas Hofmann found the net before Bayern's Rafinha was sent off.

The Brazilian defender was shown a straight red card in stoppage time after putting a hand in Mkhitaryan's face.

It completed a frustrating game for Bayern, who started with Toni Kroos, Thomas Muller and Jerome Boateng on the bench ahead of Wednesday's German Cup semi-final with Kaiserslautern.

The hosts, who have now failed to win all three league games since being crowned German champions last month, were a shadow of the team who has dominated on the domestic and European stage this season.

While Bayern lost at home in the league for the first time since October 2012, this result will at least soften the blow for second-placed Dortmund after a one-sided title race. Despite victory, Jurgen Klopp's side are 17 points behind the champions with four games of the league season remaining.

They never looked back after Armenia midfielder Mkhitaryan's composed 20th-minute finish following an incisive run and inch-perfect pass from Reus.

This was Borussia Dortmund's first league win over Bayern Munich at the Allianz Arena since November 2011

Mario Mandzukic wasted a chance to level shortly before the interval, the Croatian hooking his shot wide after Rafinha's floated ball, and it was a costly miss as Reus doubled Dortmund's advantage soon after Bayern goalkeeper Manuel Neuer had gone off injured.

Neuer's replacement, Lukas Raeder, was beaten after Ribery gifted possession to Dortmund, which allowed the visitors to pour forward and score.

More poor defending from Bayern was punished by Hofmann's clinical 56th-minute finish.

Mandzukic had a goal ruled out for offside before Rafinha was sent off for putting his hand in Mkhitaryan's face, in what was a sorry end to a sorry night for Bayern.