The regional emergency response centre says the Air Berlin plane from Duesseldorf came to a halt today on the grass about 50 metres beyond the end of the runway.
The 82 passengers and six crew were helped off the jet by firefighters.
In a statement, German officials said the cause of the incident is under investigation but noted that the runway was wet and visibility was poor.
Flights to and from Sylt, a popular tourist destination near the German-Danish border, were suspended today.
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