An “arrow” was found stuck in the door of the vehicle.
Officers said the incident happened on Lochleven Terrace in Lochgelly at sometime between 6 and 11pm on Saturday evening.
Detective Sergeant Tommy Stenhouse, from Dunfermline CID, said: “We received a report of an arrow being found in the door of a parked, unoccupied car and are carrying out enquiries into the circumstances.
“We’d ask anyone with information, or who may have been in the Lochleven Terrace area on Saturday evening, to please call police on 101, quoting incident 4085 of 4 March, 2023. Alternatively, you can call Crimestoppers on 0800 555 111, if you wish to remain anonymous.”