Some 3,372 such cases were recorded last year, up 66.5 percent from 2015, according to the latest crime statistics unveiled by de Maiziere.
They include "criminal offences carried out in the name of foreign extremists of the so-called ISIS, or the (outlawed Kurdish terrorists) PKK", said the interior minister.
Germany was hit by a string of terrorists attacks last year, with the deadliest being last December's assault on a Christmas market in Berlin.
A Tunisian suspect had rammed a truck into the crowded market in the attack claimed by the ISIS organisation that killed 12.
Overall, the number of politically driven crimes was also up in Germany, reaching 41,549 such offences in 2016, 6.6 percent more than a year ago.
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