There were dramatic scenes on Sunday night as cars were engulfed in flames.
Hedges around a house were also burned.
Photographs from the scene showed firefighters tackling the flames but at least two cars were reduced to shells.
The incident happened at Elizabeth Place between Dervock and Mosside.
Northern Ireland Fire & Rescue Service sent appliances from Coleraine, Ballymoney and Ballycastle.
Police later cordoned off the scene.
Firefighters extinguished the blaze, also saving the house next door which belongs to a couple in their late 70s and early 80s.
“I can’t understand why it happened,” Jean Kane said, of the arson attack on the neighbouring property that burned trees and shrubbery in the garden of her home.
She and her husband have been left shocked, but relieved their home escaped further damage, UTV reported.
On Monday, the PSNI said they were appealing for information after a report of criminal damage at the Elizabeth Place, Deffrick area of Ballymoney last night (Sunday 7th October).
Inspector O’Brien said: “Just after 8:30pm, it was reported that two cars parked outside a house in the area were set alight.
“Both cars were badly damaged and a third car nearby received scorch damage as a result of the incident.
“Smoke damage was also reported inside a house in the area, but there were no reports of any injuries. Northern Ireland Fire & Rescue Service attended the scene and extinguished the fire.
“Enquiries are continuing and we would appeal to anyone who saw anything suspicious in the area to contact police on 101 quoting reference number 1204 7/10/18.
“Alternatively, information can also be provided to the independent charity Crimestoppers on 0800 555 111 which is 100% anonymous and gives people the power to speak up and stop crime.”