Police were called to a property at Outgate, Ambleside last night at 10:00 pm, after receiving reports that a woman had been assaulted in the property.
An investigation was launched and a man aged 48 from the Ambleside area was arrested nearby on suspicion of murder and remains in police custody.
Police are working to formally identify the woman.
More top news
A look ahead at the weekend forecast for the Border region.
A number of new and ongoing road improvements are planned for Monday 24 July to Sunday 30 July across the region.
A driver whose illegal over-taking led to him crashing his car head-on into another car, has been jailed today for two-and-a-half years.