The wing mirror of a Vauxhall Vectra was knocked off while the car was parked in Granby Close, Corby, on Monday, November 10.
The mirror was on the pavement side of the car, so it is believed the damage will have been committed by a pedestrian rather than another motorist.
The damage took place some time between 4pm and 8pm.
Police would like to speak to anyone who may have witnessed this incident or who has any information regarding it.
Witnesses or anyone with information about this incident is asked to contact police on 101 or Crimestoppers anonymously on 0800 555 111.