Officers are appealing for information from the public after 20 sheep were reported to have died from three separate instances of sheep worrying.
Between November 6 and 7, and again on December 13, at a farm in Annathill, two incidents resulted in approximately 12 sheep being killed with more injured.
That was followed by another instance of the crime between January 4 and 5 at a farm in Glenboig, where eight sheep were reported to have died and several more left injured.
Police are asking farm owners and members of the community to be vigilant and report any suspicious behaviour which may be linked to both hare coursing or sheep worrying.
The message from the authorities is clear - 'sheep worrying is illegal'.
If a dog worries sheep on agricultural land, the person in charge of the dog is guilty of an offence.
The law considers sheep worrying to include attacking sheep, chasing them in a way that may cause injury suffering, abortion or loss of produce or being at large (not on a lead or otherwise under close control) in a field or enclosure in which there are sheep.
A spokesman for Police Scotland said: "If you have any information relating to these incidents, or any other incidents of sheep worrying, please contact our officers."
Anyone with any information is asked to contact police on 101.
Information can be left anonymously via Crimestoppers on 0800 555 111.
Find out more here.
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