Bayern Munich's director of sport Matthias Sammer says the Bundesliga leaders must learn to keep their cool after suffering their first German league defeat of the season at Borussia Moenchengladbach.

The Bavarian giants lost their unbeaten record in Germany's top tier when they suffered a shock 3-1 defeat at Borussia Park which cut their lead in the table to five points.

It is only the second time Pep Guardiola's Bayern have lost this season having gone down 2-0 at Arsenal in the Champions League in October.

It was also Bayern's first Bundesliga defeat since losing 2-1 at Freiburg last May.

Second-half goals by Oscar Wendt, Lars Stindl and Fabian Johnson left the Bavarian giants reeling before Franck Ribery scored Bayern's late consolation goal on his return after nearly nine months out with injury.

"We have to learn that victories are not self-evident and that includes keeping calm even when there are set-backs in a game," said Sammer.

Bayern coach Pep Guardiola said his team lost their composure.

"We lost our control after they went 1-0 up and they started to couter-attack," said the Spaniard.

"We have to be able to learn from this game that we should never allow that to happen.

"It's not unusual for us to concede a goal, but after that we also lost our control and our order.

"That wasn't good and then we were counter-attacked, which was a reason for the defeat.

"We must not lose the structure of our game in the manner with which we did."

Ribery rued Bayern's missed chances in the first half with his side missing injured stars Arjen Robben, Douglas Costa, David Alaba and Thiago, but still fielded 11 internationals.

"It's a pity, but it's our own fault. We have to keep a cool head," said the former France international.

"We could have been two or three goals up, but Gladbach did well and took all their chances.

"We will concentrate on the next game and hope to win," he added as Ingolstadt can expect a Bayern backlash in Munich next Saturday.

Bayern captain Philipp Lahm says they threw the league points away in the five-minute spell around Gladbach's Wendt and Stindl goals.

"You can't throw a game away in five minutes," fumed the ex-Germany captain.

"We made too many mistakes, which will be punished by any good team."

Bayern's lead at the top was trimmed by second-placed Borussia Dortmund's 2-1 win at Wolfsburg thanks to Shinji Kagawa's dramatic late winner.

Saturday was the first time Bayern have conceded three goals since losing 3-0 at Barcelona in the first leg of last season's Champions League semi-finals.

And their defeat leaves French champions Paris Saint-Germain as the only unbeaten club in any of Europe's traditional top five leagues.

For Gladbach, the victory continues their rise from bottom of the table to third as they remain unbeaten after 10 Bundesliga games under new coach Andre Schubert, who praised his side's 'sensational performance'.

"We had a bit of luck, but were very brave and had a lot of self-confidence after going 1-0 up," said Schubert.

"But the fact Bayern would be dangerous until the last minute was obvious."

His side will be playing for a place in the Europa League knockout rounds at Manchester City on Tuesday and travel to England with heads high.

"We want to continue playing in Europe and this gave us a lot of confidence to keep working hard," said goal-scorer Wendt.