Fritz was seen as a successor to Knut, the polar bear who shot to international stardom after he was abandoned by his mother and hand-reared in the Berlin Zoo.
Fritz was born on November 3, the first polar bear birth in eastern Berlin's Tierpark zoo in 22 years. He had a twin sibling which died shortly after birth.
"We are stunned, very sad and depressed. It is unbelievable how quickly this little polar bear has grown in our hearts," said zoo director Andreas Knieriem.
In Fritz's case, zookeepers had found him lying listlessly next to his mother Tonja on Monday morning. A series of checks found the cub to be suffering from a severe case of liver inflammation.
But by around 7:30 pm (1830 GMT) his breathing became irregular, and he was pronounced dead around half an hour later. An autopsy was being carried out on Tuesday morning.
"Fritz did not make it," said top-selling Bild daily on its online homepage and in a tweet.
The chancellery joined in the mourning, with Angela Merkel's chief of staff Peter Altmaier attaching Bild's tweet and adding: "Anyone who remembers little Knut is sad. But above all, we must protect polar bears in nature!"