Eleven arrests were made at Sunday's Manchester derby at the Etihad Stadium.
Greater Manchester Police reported minor incidents of disorder and fighting between supporters around the ground before kick-off and after the final whistle, but no major incidents.
All those arrested are men and all remain in custody. One was arrested for allegedly assaulting a police officer.
Another was held on suspicion of being drunk and disorderly, two were on suspicion of committing affray and another was for possession of cannabis with intent to supply.
Five arrests were made for alleged public order offences, with incidents including fighting and using threatening behaviour, and the other was for criminal damage.
The Premier League game saw Manchester City beaten 1-0 by Manchester United thanks to a first-half strike from Marcus Rashford.
Sunday's trouble follows on from disturbances at last week's Europa League clash between United and Liverpool at Old Trafford which led to five men being arrested.
UEFA has opened disciplinary proceedings against both United and Liverpool following the incidents.