Nineteen people were arrested during the Manchester United and Manchester City derby match, police have said.
Sixteen people were arrested on suspicion of a variety of offences including drunkenness, public order and ticket touting.
Three people were arrested on suspicion of throwing an object on the pitch, criminal damage and possession of drugs.
But the force thanked fans for their overall good behaviour.
United won 2-1, including a goal scored by an overhead kick from Wayne Rooney.
Greater Manchester Police's Assistant Chief Constable Neil Wain said: "This was a tense and exciting game and it is being discussed for all of the right reasons.
"We are once again grateful to the vast majority of law-abiding fans from both sides for their patience."