One policeman sustained serious injuries and lost his left eye in clashes with hooligans.
In those incidents, 18 police officers were slightly hurt, two fans were seriously injured and 18 suffered slight injuries, the spokeswoman said.
The police reported damages on seven official cars and on two tramways and buses as well as on two personal cars.
The police vowed to trace and identify assailants involved in the incidents.
State leaders condemned the violence at Maksimir and pledged to introduce more stringent measures against hooligans.