The Monday night attack on the popular market by the Kaiser Wilhelm Memorial Church in the heart of former West Berlin left 12 dead and 48 injured the first mass casualty attack by Islamic extremists carried out on German soil.
German security forces were still hunting for the perpetrator after releasing a man from custody for lack of evidence.
The claim of responsibility carried on the Islamic State group's Amaq news agency described the man seen fleeing from the truck as "a soldier of the Islamic State" who "carried out the attack in response to calls for targeting citizens of the Crusader coalition."
The claim of responsibility came not long after German prosecutors said they had released a man picked up near the scene of the attack, initially suspected of driving the truck.
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The man, a Pakistani citizen who came to Germany last year, was taken into custody based on a description from witnesses of a suspect who jumped out of the truck and fled after the attack.
"We may still have a dangerous criminal out there," warned Berlin police chief Klaus Kandt, whose office urged people to be "particularly vigilant" and report "suspicious movement" using a special hotline.
Though Germany had not seen any successful mass-casualty Islamic extremist attacks until Monday, attempts and recent attacks in neighboring France and Belgium had made many feel it was inevitable.
"We've all been prepared that something like this could happen, so we were not surprised," said economics student Maximilian Much.
The 24-year-old Berliner said the attack hit home because he'd often visited the Christmas market with his girlfriend, but that he wouldn't let himself be led by emotion.
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