Georgia (8-1, 6-1 SEC) trailed 10-0 before scoring 37 unanswered points. The Bulldogs can clinch the SEC East title and second straight trip to the conference championship game with a win at Auburn next week.
Ole Miss (5-4, 2-3) used blitzes to record five sacks in the first half. The defensive gambles left opportunities for Murray, who completed 21 of 28 passes for 384 yards with no interceptions and touchdown passes of 66, 40, 42 and 28 yards.
Georgia linebacker Alec Ogletree had a safety, a sack and an interception. His twin brother, fullback Alexander Ogletree, had an 8-yard touchdown run.