They are the first German team to land the treble.
Bayern appeared to be cruising when a harsh penalty, converted by Thomas MĂĽller, and two Mario Gomez goals put them 3-0 ahead inside 61 minutes. Stuttgart, hammered 6-1 by the Bavarians in the Bundesliga, then gave them a real scare as Martin Harnik pulled two goals back.
Bayern hung on to complete a memorable season and give departing coach Jupp Heynckes the best possible send-off as he ended his third stint in charge to make way for former Barcelona supremo Pep Guardiola.
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Hide AdThey became the seventh team to win their league, cup and European Cup in the same season, following Inter Milan (2010), Barcelona (2009), Manchester United (1999), PSV Eindhoven (1988), Ajax Amsterdam (1972) and Celtic (1967).
n Champions Barcelona matched La Liga’s record tally of 100 points for a campaign when they beat Malaga 4-1 at the Nou Camp in their final game. In his first season as head coach Tito Vilanova’s side equalled Real Madrid’s record-breaking points haul set under Jose Mourinho last season.