The incident involved a number of people and began outside the Royal Oak Pub before continuing along the main road towards Pateley Bridge and Costcutters petrol station.
Five of the people involved sustained injuries during the disturbance which ranged from bruising to a broken nose.
Officers are appealing to anyone who was in the area at the time and witnessed the incident to contact them.
Anyone with any information is asked to contact North Yorkshire Police on 101, select option 2 and ask for PC Gary Anderson or email firstname.lastname@example.org
If you wish to remain anonymous, you can pass information to Crimestoppers on 0800 555 111.
Please quote reference number 12140190537 when passing on information about this incident.