The Bavarian giants finished second to Borussia Dortmund in the Bundesliga and lost both the German Cup and the Champions League finals last season.
Lahm has now stressed that Bayern are keen to win trophies both on the domestic front and in the European arena in the 2012-13 campaign.
"We finished second three times [last year]," he told Goal.com. "This is not acceptable.
"At Bayern, the goal every year is the same. We want to be German champions. We also want to be successful on all fronts.
"We have a planet of players in the team to take responsibility. We have so much depth [in the squad] that if someone struggles, it will not be noticed."
Bayern will begin their 2012-13 Bundesliga campaign with an away game against Greuther Furth on Saturday.