A Putnam County Sheriff's Office spokesperson told A.P. that the incident happened at 7:23 a.m. Tuesday southeast of Atlanta.
Two Georgia inmates, Ricky Dubose and Donnie Rowe, escaped June 13 and are on the run after authorities say they disarmed and fatally shot two guards on a prison bus.
The officers, whose names have not been released, were transporting prisoners on a work detail along Highway 16 near Eatonton when they were shot dead on Tuesday morning.
They are armed with the officer's.40 caliber Glock pistol.
"Ricky Dubose, his accomplice, was described as a 6'1" white male.
In an emotional news conference Tuesday afternoon, Putnam County Sheriff Howard Sills called two prisoners "dangerous beyond description".
The inmates overtook the guards, who were driving a transport bus.
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Authorities say the men are extremely unsafe and shouldn't be approached.
Dubose was sentenced to 20 years in prison in 2015 in Elbert County, where he pleaded guilty to the robbery and shooting of a 67-year-old man at his rural home. Born in 1973, Rowe was being held for life without the possibility of parole for multiple armed robbery convictions in Bibb County from October 2001.
Authorities aren't saying which of the escaped inmates did the killing.
The prison bus was en route to various prisons but was thought to have begun its trip in Baldwin County and then gone to Hancock before heading into Putnam.
Rosenstein said federal resources are being committed to help catch the fugitives.
Dozier said both officers leave behind families and described them as "great officers".