A fine chip from Joshua Kimmich settled the Bundesliga's biggest game since the return of the German top-flight, and sent Bayern Munich to within touching distance of an eighth successive league title.
Kimmich beat Roman Burki with a superb lofted effort just before half-time at an empty Signal Iduna Park, although the home goalkeeper will feel that he should have done better.
The goal came at the end of a lively first period between Germany's top two, in which both sides saw efforts cleared off the line.
But it was Bayern's superior quality which ended up winning the day, and they could have extended the lead late on when Robert Lewandowski struck the post.
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