Sheffield United fans have been warned they could face banning orders after children as young as 10 were injured after more than 200 football fans fought in a coach park.
Officers arrested five people as fighting broke out following the Middlesbrough vs. Sheffield United game in the Championship on Saturday, which left one officer in hospital.
Disorder began just before the final whistle when United fans thought their team had scored a last-minute equaliser, only for it to be disallowed.
Video footage on social media then showed scuffles taking place in the coach park after United fans managed to get through a gate towards Boro fans, as children and elderly fans looked on in fear.
United said that any supporter found to have been caught up in the trouble could face a ban from their Bramall Lane ground, while Boro have yet to comment.
"We will not condone this type of behaviour, particularly when the vast majority of our thousands of our fans attend home and away fixtures simply to enjoy watching the Blades in action," Andrew Birks, United's chief operating officer, told The Times.
"We are assisting Cleveland police and others to identify the troublemakers and bring them to justice, which may include the potential use of banning orders."
Those arrested are in custody, with Cleveland Police saying they expect to make more arrests as the investigation continues.
Assistant Chief Constable Jason Harwin said: "We will absolutely not tolerate violence of this nature and we will work to identify the offenders and bring them to justice.
"The vast majority of fans accept that football is a family game, watched by children, parents and grandparents.
"It's terrifying for children to witness such violence, or be innocently embroiled in it as their parents frantically try to keep them safe.
"Unfortunately a small minority of people behave in a manner which puts innocent fans at risk."
Middlesbrough won the Championship game 1-0 with a first-half goal from Rudy Gestede.