The bodies of Earl Lee Edwards, 65, and his wife Minnie Edwards, 67, were found in their home at 370 Joe's Drive, Chapel Hill.
Investigators said the two had been married for more than 40 years.
"It appears Mr. Edwards took his own life with a firearm after ending the life of his wife," said Major Gary Blankenship of the Chatham County Sheriff's Office. "At this point, we have no reason to believe this case is anything but a murder suicide."
The couple was last seen on Sunday afternoon at church.