According to German Football Association (DFB) president Wolfgang Niersbach, the trophy was damaged during their celebrations in Berlin in front of thousands of fans.
"At one point, a small piece (of our World Cup Trophy) is chipped off but do not worry. We have specialists who can fix it," Niersbach told German national daily "De Welt".
"We have investigated persistently, but the investigation was concluded without a result," the 63-year-old added.
Germany defeated Argentina 1-0 in the 2014 World Cup final at Rio de Janeiro's Maracana stadium on July 13. This was their fourth World Cup title.