"We dodged a big bullet, like dodging a big bazooka," Georgia coach Mark Richt said. "The main reason the game got the way it did is Colorado has alot of pride. I give a lot of credit to Coach (Dan) Hawkins and the Colorado Buffaloes."
Cox, a redshirt freshman from Charlotte, N.C., connected with tight end Martrez Milner with 46 seconds remaining for the second touchdown. Kicker Brandon Coutu's extra point provided the final margin of victory.
"When the ball was coming my way, all I was thinking was, 'I have to catch this ball,'" Milner said. "It was perfectly thrown. The line did a heck ofa job of blocking and Joe threw a great ball. I struggled a little bit earlyon in the season, but now this is definitely a confidence builder."
With 9:11 remaining in the game, Cox tossed a screen pass to fullback Brannan Southerland, who took it 23 yards for the score. Coutu kicked the extra point to make it 13-7.
Cox finished 10-of-13 for 154 yards and the two touchdowns. Starter Matthew Stafford went 8-of-16 for 76 yards.
"I was ready for this situation and it worked out," Cox said. "This was the dream scenario. I am really thankful for the last touchdown. I saw the mismatch with Martrez, went to him and it worked."
"Joe came through in the clutch, and you have to give him credit," Richt said.
Linebacker Tony Taylor, who recorded a game-high 13 tackles, ended Colorado's last threat by intercepting a pass at midfield with three seconds to go. Safety Tra Battle added nine tackles and safety Kelin Johnson contributed eight.
The last 1-point victory recorded by the Bulldogs was their 23-22 decision against LSU in 1999.
Georgia (4-0) found itself down 13-0 entering the final period, the first time it had been blanked through three periods since the Auburn game in 2004.
The Buffaloes (0-4) got a 26-yard field goal from kicker Mason Crosby to go ahead 3-0 and snap the Bulldogs' scoreless quarters streak at eight. Georgia entered the game having blanked South Carolina and Alabama-Birmingham in consecutive games.
In the second quarter, Colorado quarterback Bernard Jackson bulled in from a yard out. Crosby's extra point send the Buffaloes into the break with a 10-0 advantage.
Crosby added a 36-yard field goal in the third quarter to make it 13-0.
"We are never down," Hawkins said. "We are fighters and not quitters. We did not knock them out when we had the chance. ... We have a good football team. This loss tears your guts out. We did not come here to show up and play. We came here to win."
The Bulldogs will visit Ole Miss next Saturday.