Officers were called at around 12.30pm today, August 2, following reports that the body of a woman had been found in a house in Archdale Close, in the Manor area of Sheffield.
Both men have been arrested on suspicion of murder and are currently in police custody.
A cordon is in place and officers are at the scene carrying out enquiries.
Formal identification and a forensic post-mortem have not yet taken place.
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Anyone with information should call South Yorkshire Police on 101 quoting incident number 415 of August 2 2018.