The woman, thought to be in her 20s, was found at the house in St Neots, Cambridgeshire, in the early hours of Saturday.
Detectives have launched a murder investigation and the man remains in custody at a police station in Peterborough.
Emergency services were called to an address on Loves Way, St Neots, at around 4.30am on Saturday.
Two police cars remain outside the property this evening.
A Cambridgeshire Police spokesman said no further details about the incident or the victim are available.
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