"He underwent an emergency operation immediately after the crime and was put into an artificial coma, but succumbed to his serious injuries late in the afternoon on Sunday, June 2," the joint statement said.
A 25-year-old man was filmed stabbing the police officer and five members of an anti-Islam group calling itself PAX Europa at a booth in the city center.
The state premier of Baden Württemberg, where Mannheim is located, Winfried Kretschmann, said the news "shocks me to the core," and offered condolences to the victim's family, friends and colleagues.
"This awful crime puts the often incalculable risks police officers are exposed to daily painfully before our eyes," Kretschmann said.
Meanwhile, police were present in numbers in central Mannheim again on Sunday, amid at least three public demonstrations in response to the attack.
A cross-party organization had called for a human chain to be formed through much of the city center against violence and hate, attracting between 800 and 1,000 people, according to the police.
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