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The case involved three videos of classical English singer Sarah Brightman.
Google plans to appeal the decision, according to the news source.
"This decision results in a substantial legal uncertainty for all providers of video platforms, opinion forums, social communities, blogs and many other internet services," Arnd Haller, legal director for Google Germany, said in a statement.
In June Google won a similar case in the US. Viacom filed the suit against Google over the issue of unauthorized videos being uploaded to YouTube. The media company has stated that it plans to appeal the decision.