Onlookers were shocked at the fair, organised by Scott Pullen and Son, on Grange Lane on Sunday.
It’s reported that a large group ‘arrived with caravans’ at the site before the situation escalated and ‘approximately 100 people’ started to fight.
A spokesperson for South Yorkshire Police told the Chronicle: “At 4.15pm on Sunday, police were called to reports of a large fight on Grange Lane.
“Approximately 100 people were involved and when officers arrived, one was reportedly assaulted.
“Three men, aged 58, 30 and 26, were all arrested on suspicion of assaulting an emergency worker.
“They have all since been released under investigation.”
The event’s organisers apologised and have confirmed that they will return when ‘circumstances allow’.
A spokesperson for Scott Pullen and Son said: “We would like to apologise to our loyal guests who purchased tickets for our funfair at Grange Lane or planned to visit this week.
“Due to unforeseen circumstances we had to cut short our visit.
“This was totally beyond our control and unexpected.
“If you have purchased tickets for this week, booking agent Skiddle will be in touch regarding refunds.
“We look forward to returning in the future when circumstances allow.”
Barnsley Central MP Dan Jarvis condemned those involved in the violence.
He added: “I was shocked and appalled to hear reports of violence at the Grange Lane fair, which I condemn in the strongest possible terms.
“I was very sorry to hear that a police officer was assaulted - my thoughts are with them and their family and I wish them a speedy recovery.
“It is imperative that all those involved in this senseless violence are brought to justice.”