The victory moved second-placed Bayern, who take on Celtic in the Champions League next week, up to 17 points, two behind Dortmund who suffered their first home loss in 41 league matches.
Willian and Lionel Messi scored as Chelsea and Barcelona finished 1-1 after an absorbing first leg of their Champions League last 16 tie on Tuesday, while Bayern Munich, helped by two typical Thomas Mueller goals and two from Robert Lewandowski, romped to a 5-0 home win over Besiktas.
Eintracht Frankfurt stunned Bayern Munich with two late goals to beat the Bundesliga leaders 2-1 on Saturday and leave the top spot up for grabs.
Bayern Munich's smooth passage into the Champions League knockout stage hit a speed bump after it emerged on Thursday that versatile Austria international David Alaba will need knee surgery and will be out for several weeks.
Arturo Vidal and Douglas Costa struck as Bayern Munich disposed of Borussia Moenchengladbach 2-0 on Saturday to claim their first win in three Bundesliga matches and power three points clear at the top.
Bayern Munich and Barcelona registered easy wins, while Manchester United came from behind to beat CSKA Moscow 2-1 and Chelsea surrendered the top spot after a 1-1 at home against Atletico Madrid.
Leaders Bayern Munich's express start to the season finally ran out of steam on Friday with a goalless draw at Eintracht Frankfurt, following 10 wins out of their 10 previous Bundesliga games.
Cristiano Ronaldo became the first player to score 100 goals in UEFA competitions when he struck twice as holders Real Madrid came from behind to win 2-1 at Bayern Munich in the first leg of their Champions League quarter-final on Wednesday.
Bayern Munich gained some revenge for their 2012 Champions League final defeat by Chelsea when they beat the Premier League club 5-4 on penalties after a thrilling UEFA Super Cup ended 2-2 at the end of extra-time on Friday.
Bayern Munich winger Arjen Robben is doubtful for their Champions League Group F encounter against Valencia on Wednesday but team mate Franck Ribery is set to play.
Bayern Munich coach Pep Guardiola set a Bundesliga record after needing only 61 matches for his 50th league win when the champions beat Borussia Dortmund 1-0 on Saturday to march towards the title.
Bundesliga leaders Bayern Munich were made to work extremely hard for a 3-1 victory at VfB Stuttgart on Saturday that sent them eight points clear at the top of the table with five games left.
Bayern Munich's party was wrecked by Borussia Moenchengladbach who hit back for a 1-1 draw at the Allianz Arena on Saturday, forcing the Bavarians to wait at least a week to clinch a fourth straight Bundesliga title.
Flawless Bayern Munich struck twice in three minutes to beat Schalke 04 2-0 on Saturday and stay top of the Bundesliga with four wins from four as rivals Borussia Dortmund lost 3-2 at Hamburg SV to end a 31-match unbeaten run.
The Arsenal manager said the Champions League draw offers Arsenal a chance to exact revenge for one of their worst displays in Europe.
News of all that's transpired on and off the football field
Atletico Madrid reached the Champions League final on away goals on Tuesday after a 2-1 defeat at Bayern Munich, in which both sides missed a penalty, with the exhilarating tie finishing 2-2 on aggregate.
Bayern Munich swatted aside Raja Casablanca 2-0 in a one-sided Club World Cup final on Saturday that did little to boost the credibility of a tournament which struggled to an anti-climax.
News of all that's transpired on and off the football field
News of all that transpired on and off the field.
Jose Mourinho refused to comment on the performance of English referee Howard Webb in his side's 2-1 Champions League semi-final first leg defeat by Bayern Munich on Tuesday, except to say that the Bavarians' first goal was offside.
Bayern Munich had to put their Bundesliga title celebrations on hold on Saturday after beating gutsy Mainz 05 2-0 while Borussia Dortmund also won, 3-0 at Hanover 96.
Visitors Schalke put a dent in Bayern Munich's Bundesliga title hopes by snatching a 1-0 win over the champions in a bad-tempered game on Saturday.
Champions Bayern Munich crushed Stuttgart 5-1 on Tuesday to ease into the German Cup quarter-finals after a six-week winter break. Hamburg SV striker Ivica Olic scored a hat-trick against 1860 Munich to lead his team into the quarter-finals and show why Bayern Munich rushed to sign him for next season.
Bayern Munich president Uli Hoeness was charged with tax evasion on Tuesday after months of investigations into the high-profile affair were concluded, a Munich court said.
Photos from the match between Bayern Munich and Juventus played on Wednesday
Arjen Robben grabbed his 100th goal for the club as undefeated Bayern Munich outclassed Freiburg 2-0.
Bayern Munich striker Robert Lewandowski netted the Bundesliga's fastest hat-trick on his way to a sensational five-goal haul as a halftime substitute in their 5-1 demolition of VfL Wolfsburg on Tuesday.
"If Bayern Munich show an interest, I will of course have to think seriously about accepting the offer," the Liverpool midfielder said.
Germany expects 2.7 million people to attend matches in stadiums across the country and some 12 million in its fan zones for outdoor viewing, including on a long stretch of turf laid out in front of Berlin's Brandenburg Gate.
Bayern Munich came from a goal down at home to beat Ingolstadt 3-1 on Saturday and make it three wins in three Bundesliga matches as they went two points clear at the top. The champions were far less convincing than in their Champions League 5-0 win over Rostov on Tuesday and were caught napping after eight minutes with Paraguayan Dario Lezcano slipping the ball through the legs of Manuel Neuer.
Bayern Munich kept their five-point lead at the top of the table on Saturday, drawing 0-0 at second-placed Borussia Dortmund to stay on track for a record fourth consecutive Bundesliga title.
A toothless and haggard Real Madrid slumped to a humiliating 10th Liga defeat of the season on Sunday as they lost 1-0 at struggling neighbours Rayo Vallecano.
The club won its 18th German crown with four games left.
Bayern Munich coach Pep Guardiola pledged his team would come back stronger next season after they lifted the league trophy in a huge post-match party following a 2-0 victory over Mainz 05 to end their Bundesliga campaign in style.
