They received a report at approximately 3.30am that an abandoned car had been discovered on fire in the Moyle Road area of Ballycastle.
Officers traced the vehicle back to an address in Carnlough and notified the owner.
The woman, aged in her 60s, had last seen the car parked outside her home at 5pm on Saturday, January 1 and believes that someone has entered the property and taken the keys.
Police are appealing for anyone who may have witnessed anyone suspicious in the vicinity of Largy Road between 5pm on Saturday and 3.30am this morning, who may have seen the grey coloured Hyundai Santa Fe being driven between these times, or being set on fire in the Moyle Road area of Ballycastle is asked to contact detectives on 101 quoting reference 299 of 02/01/21.
Alternatively, a report can be submitted online using the non-emergency reporting form via http://www.psni.police.uk/makeareport/ or anonymously through Crimestoppers on 0800 555 111 or online at http://crimestoppers-uk.org/