It happened Saturday night at the J&S Barbecue on Mesa Rd. near Ley Rd.
Two men tried to rob the store owner as he was getting into his car, police said. The owner, who is in his 70s, fought back.
He shot and killed one man, the other man ran and got away, according to police.
"When the first units arrived they found a black male shot on the ground behind the business," said officer T.R. Jackson. "That man was transported to the hospital where he was later pronounced dead. It's possible that male and another male attempted to rob our complainant out here."
Police are still looking for the other suspect.