Officers were called to the property on Lanrigg Road in Fauldhouse, Bathgate, at around 7.30pm on Sunday, June 12.
Inside the address, they found a 57-year-old man, who was pronounced dead at the scene.
Police are now investigating to try to determine the circumstances that led to his death.
A Police Scotland spokesperson said: "A report will be forwarded to the Procurator Fiscal."