ATHENS, Ga. -- Charles Scott's 33-yard touchdown run with 46 seconds remaining propelled No. 4 LSU to a thrilling 20-13 win over No. 18 Georgia on a gorgeous Saturday afternoon at Sanford Stadium.

The host Bulldogs had taken a 13-12 lead with 1:09 left on a 16-yard pass from Joe Cox to A.J. Green, but Green was penalized for excessive celebration. That resulted in Georgia having to kick off from its 15-yard line, and LSU took advantage with a Trinton Holliday return that helped the Tigers start their winning drive at Georgia's 38.

"Our football team will beat you up and steal the game if you turn your back on them," LSU coach Les Miles said. "I am so proud of our football team, and it is fun being undefeated."

At 5-0 overall and 3-0 in the Southeastern Conference, LSU can turn its full focus to this week's visit from No. 1 Florida. The matchup promises to be the biggest in Baton Rouge since Halloween night in 1959, when Billy Cannon's 89-yard punt return propelled the No. 1 Tigers to a 7-3 win over No. 3 Ole Miss.

Georgia, meanwhile, dropped to 3-2 overall and 2-1 in the league.

"It's why you play 60 minutes, because you never know what can happen in this game," Bulldogs defensive tackle Jeff Owens said. "There can be some crazy stuff."

Scott gave the Tigers a 12-7 lead with a 2-yard touchdown with 2:53 remaining, but Cox passed to Tavarres King for 46 yards down the left sideline to the LSU 16. Two plays later, Green reached over 6-foot-1 cornerback Chris Hawkins to snag the go-ahead score.

The officiating crew determined that Green made a gesture to the crowd that called attention to himself.

"All I did was just shake my head and put my hands up, and everybody just came around me," Green said. "I'll be more cautious next time. I'll give the ref the ball and celebrate with my team."

The Tigers were penalized for celebrating after Scott's 33-yard run, but Bulldogs coach Mark Richt thought they were "well within their celebratory rights."

Georgia was put in a seven-point hole when Jordan Jefferson passed to Brandon LaFell for the two-point conversion, and its last gasp consisted of a fumbled shotgun snap, a Cox incompletion and a Cox interception. The senior quarterback, who finished 18-of-34 for 229 yards with two touchdowns, was one of many in the home locker room wondering what might have been without the celebration flag.

"It must have been really bad if you score a touchdown with a minute left on the No. 4 team in the country," Cox said. "I'm not saying we didn't deserve it, because I didn't see what happened. I know I was excited and was running around screaming and looking like an idiot."

Said defensive coordinator Willie Martinez: "It's hard, because you want your kids to play with emotion, but we tell them to celebrate with their teammates. They know the rules."

Georgia's defense allowed 236 yards in the first half but held the Tigers to two field goals. In the third quarter, the Bulldogs held LSU to minus-11 yards on six plays.

The Bulldogs could not repeat that dominance in the fourth, especially in the final minute.

"I thought our defense played great until that run," defensive end Justin Houston said. "I thought we had a breakthrough and it was a time to show greatness, but we didn't."

Georgia plays at Tennessee this Saturday, with the kickoff at noon or 12:21 or 12:30 p.m.. The television network and starting time will be announced today.