Eleven people have been arrested but more are expected after last violence flared at last night's Potteries derby.
Seats were ripped out and thrown on to the pitch along with flares, bottles and coins during the match at Vale Park.
Toilets in the Hamil Road end of the stadium were smashed up.
Officers from Staffordshire Police will be working hard to identify those responsible for the anti-social behaviour and criminal damage at Vale Park.
During the fixture there was considerable damage caused to sections of the away stand as seats, toilets and windows were all broken. Disruptive behaviour from a large section of away fans at the game led to officers deploying public order tactics to restore order.
Chief Superintendent Wayne Jones, commander for the policing operation, said: "I would like to express my thanks to all the officers that helped us deliver a challenging policing operation. There was some despicable behaviour by a large number of fans, which has caused considerable damage to the away section of Vale Park. We are taking this very seriously and I expect there to be more arrests in the coming days as we examine CCTV coverage and gather evidence of the crimes committed.
"My officers have shown bravery and dedication and the support from stewards and partners has been first class in ensuring that those intent on fighting each other were unable to do so. I am also grateful for local pubs working with us and shutting early to ensure the safety of those in Burslem.
"This kind of behaviour is not acceptable and I would like to reassure you that we will do all we can to bring those responsible to justice."
Since the operation deployed in the early afternoon, there have been 11 arrests in total. Those arrested are aged between 18 and 61, all from the north of Staffordshire and were arrested for a mixture of public order and violence offences.
The Checkatrade Trophy tie between Stoke City under-21s and Port Vale saw over 150 officers deployed with a mixture of public order, tactical, dog support and response officers.