Four of the officers were hospitalized, the report says, adding that several stewards, rescuers and stadium guests were injured as well.
Earlier in the day, police said clashes broke out between security and Eintracht fans at the entrance to the stadium. During the clashes, fans threw bottles, pyrotechnics and metal bars at security personnel. Police responded with pepper spray and batons.
Several people were detained after the incident and local police created a commission to investigate the riots, the report read.
The match ended in a 2-1 victory for Stuttgart.