The visitors, usually involved in the relegation battle, silenced the home crowd after 15 minutes when Mohammed Abdellaoue beat two defenders and threaded the ball past keeper Oka Nikolov.
The 36-year-old Nikolov denied Emanuel Pogadetz from close range, palming his header from five metres over the bar but was helpless when Christian Schulz headed in the ensuing corner.
Ivorian striker Didie Ya Konan notched his 10th goal of the campaign a minute from time to complete Hanover's fifth away win this season.
"We are working well together," Hanover coach Mirko Slomka told reporters. "At the moment everything is working out well."
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