Extra police were drafted in to action in the build up to the semi-final, that United won thanks to a stoppage time goal from Wayne Rooney, in a bid to avoid a repeat of disturbances at last week's first leg - which resulted in appeals for the public to identify troublemakers.
So far 29 people have been arrested for alleged offences from the first game - which City won 2-1. United's 3-1 win last night gave them a 4-3 aggregate win.
A Greater Manchester Police spokesman said: ''Officers policing (last night's) Manchester derby have made 11 arrests. Eleven men have been arrested on suspicion of various offences including public order, affray and criminal damage.''
Three men, aged 34, 17 and 34, were arrested for section five public order, a 35-year-old man was arrested for criminal damage, a 44-year-old man was arrested for public order and possession of class A drugs, a 35-year-old man was arrested for attempting to enter the ground while drunk and an 18-year-old man was arrested for theft.
As well as the pair detained in the stadium, two other men were arrested in the city centre.
Assistant Chief Constable Ian Hopkins said: ''The arrests we made prior to (last night's) game and the work we carried out with the clubs has paid dividends.
''The vast majority of fans have taken on board our messages ahead of the game, making sure it has been a safe evening and one that can be remembered for the football.
''The low number of arrests on the night is testament to the excellent work of all those involved. The vast majority of fans behaved very well and I would like to thank them for listening to the messages we have been giving, to help make the evening pass off peacefully.''