Several shots were fired. Cooper was hit in the head and flown to Atlanta Medical Center, where he was in serious condition Tuesday morning, Channel 2 reported.
Loved ones tell us he was the nicest guy you could ever meet.
Fleming sustained a fatal gunshot wound. The GBI said early information indicates his gunshot wound was self-inflicted.
"This is something we all pray every day will never happen but here we are," Covington police Capt. Ken Malcom said. "It is very heavy on all our hearts. Please pray for our officer."
Two other people are in custody in the case. Details about those people have not been released.
An officer has been shot at a Walmart in Covington. (Credit: Channel 2 Action News)
Covington is about 35 miles east of Atlanta and is the county seat of Newton County.