Guernsey Police are investigating the series of incidents, which took place in the early hours of Sunday 8 March.
The spate is believed to have begun in L’Hyvreuse Avenue, before moving on to the Fosse Andre, Maurepas Road and Amherst in St Peter Port.
Residents in the area are being asked to check their property and vehicles for any damage.
Motorists are also being urged to check their cars are locked before leaving them.
Anyone with information is asked to contact Guernsey Police on 725111 or Crimestoppers anonymously on 0800 555 111, quoting reference number OC20* 1603.