The Football Association will push for life bans to be imposed on the fans whose behaviour marred Tuesday night's Carling Cup tie between West Ham and Millwall.
The FA are looking into the events that saw a man stabbed outside Upton Park and pitch invasions occur following the Hammers' goals.
FA director of communications Adrian Bevington said on BBC Radio Five Live: "We have to make sure that the individuals concerned face such tough actions that they can't go to football again."
West Ham have pledged to help with the investigation into the shocking scenes but could also face action themselves.
A spokeswoman for the Metropolitan Police said officers had made several arrests and were scanning CCTV footage to identify hooligans.
Bevington added: "We have to understand exactly what measures were put in place on Tuesday night.
"I'm not going to condemn West Ham or Millwall football clubs for any of their actions - certainly not at this stage, because we don't know exactly what's been put in place.
"And we know there have been huge efforts on the parts of all our clubs to try to eradicate the problems and we've had a history of success on that.
"We all want a big atmosphere at matches - that's part of football, part of the passion.
"However, we also want to make sure it's a safe environment to watch games and we've just spent the best part of 20 years working towards that."
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