Multiple incidents involving horse and trap riders were reported on Saturday after 1:30pm.
The group grew from 50 in Esher to 150 while passing through Hampton Court, Bushy Park, Molesey, Hersham, Sunbury and Walton.
Officers responded quickly by closing roads and issuing a dispersal order.
People with footage are being urged to contact police on 101.
Chief Superintendent Aimee Ramm, Northern Divisional Commander said:
“Firstly, as the Divisional Commander for North Surrey, I would like to acknowledge the disruption and concern that the gathering of people using horses and traps on Saturday (12 April) caused to the local community.
“We were first made aware of around 50 people using horse and traps at a location in Esher at around 1.30pm.
“The group then moved on to other locations including Hampton Court, Bushy Park, Molesey, Hersham, Sunbury-on-Thames and Walton, and grew to around 150 people.
“In response, numerous officers were swiftly deployed to the scene and several roads were closed to restrict the movement of the group.
“A dispersal order was also put in place for the entire borough of Elmbridge from 3.55pm on Saturday 12 April until 3.55pm on Sunday 13 April. Neighbourhood officers also conducted extra reassurance patrols over the weekend.
“Due to the large numbers involved, officers prioritised dealing with the immediate disorder, but I would like to stress that our enquiries into related reports of criminal behaviour are being thoroughly investigated as a matter of urgency.”
