Police arrested seven men after violent clashes broke out between West Ham and Chelsea fans at the former Olympic Stadium which saw fans launching seats and coins at each other.
Scotland Yard said the men were arrested for public order offences following the match at the London Stadium, in Stratford, east London, which West Ham won 2-1.
A further 30 people were issued with directions to disperse under antisocial behaviour legislation ahead of the EFL Cup match on Wednesday, the Met said.
One fan at the game told BBC Radio 5 live it “was an absolute nightmare”, adding: “If they don’t close that stadium someone will get killed there.”
Missiles including coins and seats were launched between rival fans as stewards struggled to maintain segregation behind the Hammers’ goal towards the end of the match. Despite this, there were no reports of any fans being injured.
The force said it deployed a “significant number” of officers in the stadium to deal with the “unacceptable” scenes at the derby match.
Commander BJ Harrington, who led the operation, said: “Although the vast majority of people left the stadium peacefully and were well behaved, there were a minority of people who attended the match that were clearly intent on being involved in confrontation and violence.
“Despite extensive work with both clubs and the London Stadium partners as well as a large and robust policing operation, there were unacceptable incidents inside and outside the stadium, before, during and after the game.
“We have already made seven arrests and will work tirelessly to identify people involved and bring them to justice.”
Part of the police investigation will reportedly look at “a leaflet handed out before the match containing homophobic contents”, the Met has been quoted as saying.
The BBC reported that images circulated on social media before the game appeared to show a song sheet being distributed with homophobic lyrics aimed at Chelsea defender John Terry and striker Diego Costa.
Both clubs issued statements condemning the skirmishes, the circumstances of which are under investigation by police.
West Ham manager Slaven Bilic described the scenes as “unacceptable”, while the club “unreservedly” condemned those involved, who they will seek to identify.
The club said: “Once identified, those found to have acted improperly will be banned from attending any West Ham United fixtures for life and we will request the courts serve banning orders to prevent these individuals attending any other football.”
The London Stadium has been West Ham’s home for nine games after leaving the Boleyn Ground in Upton Park in May.
A Chelsea spokesman said: “The club is extremely disappointed to see disturbances at the end of tonight’s game and we condemn such behaviour.”
Chelsea manager Antonio Conte has also been quoted as saying: “I don’t really like to see these situations.”