Birmingham have condemned the damage caused to St Andrews by supporters following their relegation from the Premier League.
Fans invaded the pitch after Sunday's 4-1 victory over Blackburn and the damage included a broken set of goalposts, which will be replaced at a cost of £3,000.
City have now announced they have handed over CCTV footage to police.
The club said in a statement: "Birmingham City have received a high volume of letters and e-mails from genuine supporters 'dismayed' by the actions of many so-called 'fans' following our recent game against Blackburn Rovers.
"The club has a zero-tolerance stance on this type of behaviour and are working closely with West Midlands Police concerning this matter.
"CCTV footage has already been handed over to the Football Intelligence department in order to attempt to identify those individuals involved with a view to arrest and a recommendation to the courts that banning orders be implemented.
"The club will also instigate its own banning orders against anyone found guilty of this act."
Head groundsman Martin Kelly has also hit out at the culprits and claims the vandalism left him feeling "totally numb".
"I realise now that it wasn't the club's genuine fans that did this as our fans are great and wouldn't do that to their own stadium," he told www.blues.co.uk.
"As I watched it happening, I couldn't believe it and felt totally numb.
"Regardless of whatever those people were thinking at the time, to go onto their own club's pitch and vandalise the goals as they did was completely wrong and three days after the event I still can't take it in."