They found 71-year-old Revd Rene Wayne Roberts' body in Waynesboro after a man, who'd been driving the priest's car, led them to the corpse.
Police in the US say they expect Steven Murray to be charged with aggravated kidnap and murder.
Revd Rene Wayne Roberts (below) went missing last week and was last seen on April 10.
Officers have not yet established a motive, but believe Revd Roberts was helping Steven Murray before his death occurred.
Police arrested Steven Murray in Aiken, South Carolina, while he was on the run. He had several weapons with him.
Mr Murray has also been charged with aggravated fleeing and attempting to evade arrest.
