Two pregnant ewes sustained severe wounds to their heads after being attacked in a field on Glebe Road, Bowness on Windermere.
Police believe the attacks have been by dogs who have been off leads, unattended and allowed to chase sheep in fields.
More top news
Severe gales possible for a time north of the border overnight. A cold, raw wind sets in Sunday. Showers turning wintry Monday & Tuesday.
Today, the Government announced plans to increase rail services in the North. But what does it mean for Cumbria?
A look ahead at the forecast for the Border region.