The Isle of Man Constabulary is investigating the ‘deeply concerning’ incident, which took place between 12.30pm and 3pm on Monday, June 16.
The kittens were found at distinct sites in the town: outside the Isle of Man Bank on Athol Street, at Tesco Lake Road, on Kensington Road, and at Shaws Brow Car Park.
At this stage, the exact circumstances surrounding how the animals came to be injured remain unclear.
The police have stated that they are keeping an open mind as to what may have taken place and are exploring all possibilities.
A police spokesperson said: ‘We are urgently appealing to members of the public who may have seen anything unusual or concerning in or around these locations during the time specified.
‘Even the smallest piece of information or footage from a dashcam could assist with our enquiries.’
No further details about the injuries sustained by the kittens have been released at this time. However, the fact that the animals were found injured in four separate locations in such a short time frame has understandably caused concern among members of the public and the authorities.
Anyone who may have witnessed anything suspicious, or who may have relevant footage, is asked to contact Police Headquarters on 631212, quoting reference number 97/4683/25.
Alternatively, relevant information on this matter can be shared anonymously via Crimestoppers by calling 0800 555 111.
Police enquiries are ongoing, and a spokesperson added that they have not ruled out any possibilities.