Chatham County Superior Court Judge Penny Freesemann signed a death warrant for Troy Anthony Davis, 41, setting his execution between Sept. 21 and Sept. 28, The Atlanta Journal reported Wednesday.
The exact date will be determined by Georgia's Department of Corrections.
Davis was convicted of killing a Savannah police officer, Mark Allen MacPhail, outside a Burger King in 1989.
At the time, MacPhail, 27, was running to the aid of a homeless man who was being pistol-whipped.
Davis' case attracted international attention because a number of key witnesses either recanted or backed off their trial testimony.
In August a federal judge rejected Davis' claim that he was wrongly convicted.
A request for clemency was previously rejected by the Board of Parsons and Paroles.