William Hanks, 83, was found inside the house at Kildonan by firefighters called to the incident on Wednesday.
A joint investigation by the Scottish Fire and Rescue Service and Police Scotland concluded there were no suspicious circumstances.
A Police Scotland spokesman said: "Our thoughts continue to be with Mr Hanks' family at this tragic time."
The fire was quickly brought under control and no-one else was at the property at the time.
A fire that killed an elderly man at his home on South Uist was not suspicious, investigators have said.