Germany is helping to train Kurdish security forces in Iraq but has not joined the United States and France in air strikes against Islamic State positions in Syria.
The poll of 1,000 respondents was carried out following last Friday`s militant attacks in France.
Germans have long felt that their opposition to the Iraq war and low-key involvement in Afghanistan meant they would not be targets for similar attacks.
But that security bubble was pricked by events in Paris, a shock compounded on Tuesday when authorities in the northern city of Hanover canceled a soccer match between Germany and the Netherlands due to a specific security threat.
Citing a French intelligence document, the Hannoversche Allgemeine newspaper said authorities had been warned that a group of five people led by a German citizen planned to detonate five bombs, including three inside the stadium.
In the end, no arrests were made and no explosives found.
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