Rolls of barbed and fencing wire were taken from the grounds of a property in Hawsker over the weekend.
It happened at a premises on Back Lane in Hawsker between 8pm and midnight on Saturday January 3.
Police are looking to speak to anyone who may have any information as to the whereabouts of several rolls of barbed and fencing wire which have been stolen or who may have been offered the sale of some.
Whitby police are also appealing for information about any vehicles that were sighted in the area around those times which may have been acting suspiciously near properties.
Anyone with information that could assist the investigation should contact police on 101, select option 2, and ask for Nicola Knowles.
You can also email firstname.lastname@example.org
If you wish to remain anonymous, you can pass information to Crimestoppers on 0800 555 111.
Please quote the North Yorkshire Police reference number 12150001777.