Mr Klein said "the lifting of inhibitions and the uncouthness" of society could be behind the spike in crimes against Jews.
The internet, social media and "constant attacks against our culture of remembrance" may be contributing, he said.
He urged police officers, teachers, and lawyers to receive training to clarify "what is allowed and what is not" when "dealing with antisemitism".
Earlier this year, Claudia Vanoni, Germany's top legal expert on antisemitism, told AFP that the prejudice remained "deeply rooted" in German society.
"Antisemitism has always been here. But I think that recently, it has again become louder, more aggressive and flagrant," said Ms Vanoni.