By Graeme Bailey
Last Updated: 01/01/70 1:00am
Bayern knew the trip to the BayArena would not be easy, but the defending champions should their class with a thoroughly professional display.
Dutch star Roy Makaay (pictured) opened the scoring just before half time and then the ubiquitous Michael Ballack pounced just before the hour.
Makaay added a third just 12 minutes from time to secure the win, although Bernd Schneider added a late consolation in the final minute for the home side.
Stuttgart secured a very good 2-0 win over Borussia Dortmund at the Westfalenstadion.
Borussia could have moved into the top-four with victory, but instead Stuttgart secured their first win since January.
Belarus star Aleksander Hleb pounced after just six minutes before Horst Heldt smashed home an 81 minute penalty to secure the win.
VFL Bochum secured a 1-1 draw at lowly Hertha Berlin and remain in fourth place.
Marcelinho had given Hertha the lead after 20 minutes, but Bochum grabbed a share of the spoils thanks to Frank Fahrenhorst's strike on the hour.
Hertha have now dropped into the relegation zone after Borussia Monchengladbach secured a 1-0 win over Hannover.
Igor Demo pounced after 25 minutes to the delight of the majority at the Bokelbergstadion.
Kaiserslautern also moved out of the bottom three after they secured a crucial 1-0 win over Eintracht Frankfurt.
Former Arsenal midfielder Stefan Malz pounced in the final minute to give The Red Devils victory.
Schalke moved sixth with a comfortable 3-0 home win over Freiburg.
Ebbe Sand (41 & 52) and Eduard Glieder (62) grabbed the goals for the Gelsenkirchen outfit.
Hansa Rostock stemmed Hamburg's Uefa Cup hopes with a 3-0 win at The Osteestadion.
Gabriel Melkam put the home side ahead after 6 minutes and Magnus Arvidsson doubled their advantage after 19 minutes.
Antionio Di Salvo sealed victory with a third ten minutes from time.
Click below for match summaries:
Bayer Leverkusen 0-3 Bayern Munich
Borussia Dortmund 0-2 VfB Stuttgart
Borussia M'gladbach 1-0 Hannover 96
FC Kaiserslautern 1-0 Eintracht Frankfurt
Hansa Rostock 3-0 Hamburg
Hertha Berlin 1-1 VFL Bochum
Schalke 3-0 SC Freiburg