More than 300 police officers were on duty in Sheffield as the city's two football teams played their 125th derby match on Sunday.
Wednesday remain in danger of being relegated from the Coca Cola Championship after the 1-1 draw with United at Hillsborough.
South Yorkshire Police warned "the small minority of troublesome fans" to stay away.
The force said there were no reports of major incidents by the end of the game.
Eighty nine people in Sheffield have been served orders banning them from attending football matches after they were involved in disorder at the clubs' venues.
Before the match a police spokesman said: "A safe, enjoyable family atmosphere is something the police and partners are determined to maintain at local football matches.
"This is at the heart of Sheffield's success in forming part of the England bid to host the 2018 World Cup and all eyes will be on the city this weekend."