Arrests were made after a fight broke out in Campbell Park on Saturday night.
Police were called to the scene just before 8.10pm.
Three men, aged 46, 52 and 42, all from Milton Keynes, were arrested on suspicion of affray.
They have all been released on police bail until September 7.
A Filipino Festival was held at Campbell Park Amphitheatre earlier in the day and finished at around 7pm.
A Thames Valley Police spokesman said the police did not believe the incident was linked to the festival.
Witnesses can contact police at the enquiry centre on 101 or Crimestopper anonymously on 0800 555111.