He's charged with murder, interfering with police, and disorderly conduct.
Police arrested McKeever after the body of Murphy, 46, was found in a home on Cole Street in New London Wednesday.
At 12:02 p.m. police responded to reports of a suspicious incident. They found Murphy in the upstairs bedroom of the home.
The body showed clear signs of trauma, and police said they would investigate the incident as a homicide.
Both Murphy and McKeever lived in the house.
If you have any information please call New London Police at 860-447-1481.