It happened in the Town Park area on Glenarm Road, Larne last night, Wednesday 25 April.
Detective Sergeant Pete Crothers said: “It was reported that at approximately 8.50pm last night a white-coloured Land Rover parked in the area had been set on fire.
“Two men were reported to have been seen running from the area.
“Police and NIFRS attended, and the fire was extinguished.
“The vehicle suffered extensive damage as a result of the incident.
“We are working to establish a motive for the attack and would appeal to anyone who was in the area around 8:50pm last night and saw what happened, or noticed any suspicious activity in the area to contact us.
“Anyone who knows anything about this incident is asked to call Detectives in Larne on the non-emergency number 101, quoting reference number 1228 of the 25/04/17.
“Or, alternatively if someone would prefer to provide information without giving their details they can contact the independent charity Crimestoppers and speak to them anonymously on 0800 555 111.”