The incident took place yesterday evening at New Ings Mill, off Field Lane.
An air ambulance was called to a nearby car park but police say one man suffered minor injuries only.
Reports on social media suggested a knife was used in the fight, police were today unable to confirm this.
A West Yorkshire Police spokesperson said: "Police were called to reports of a fight at a property on New Ings Mill in Batley shortly before 6pm on Sunday 17 March.
"A 22 year old man suffered a minor injury.
"Three people have been arrested and remain in police custody at this time.
"Enquiries are ongoing."