Earlier, a spokesperson for Gauck said police had carried out a controlled explosion of the package, in a park next to the presidential palace in central Berlin.
Federal investigators said their tests had shown there were no explosives, despite the earlier suspicions of the bomb disposal experts.
The incident came a day after US authorities charged a man with mailing letters to President Barack Obama and a US senator containing a substance that preliminarily tested positive for ricin, a highly lethal poison made from castor beans.
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Was he expecting some explosive in package?