Police was called at 6.48pm on Monday 1 July to a report of a public order incident in a park off Waterloo Court, Andover.
It was reported there had been a fight involving around 20 people that moved to High Street.
Officers attended the incident.
A 49-year-old man and 30-year-old woman were taken to hospital with minor injuries.
A 53-year-old man was also taken to hospital with a cut to his arm. Enquiries are ongoing as to how the man came to be injured.
An investigation is underway. No arrests have been made at this stage.
Officers will patrol the town centre area today (Tuesday 2 July) for reassurance.
Anyone with information on what took place should call police on 101, quoting 44190227786.