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
Cumbria Police has defended its decision to spend one £1.8 million on replacing traditional notebooks with new electronic devices.
Hundreds of people have turned out at the Border Reivers festival in Hawick today.
A brighter afternoon but windy with showers. Further rain/showers into Sunday. Some sunshine developing but winds staying strong and cooler