Ryan teamed with Julio Jones on an 80-yard TD midway through the third quarter, but the Falcons found themselves trailing, 23-17, after the Bucs marched for a touchdown, then used a sack-fumble to set up a field goal that left Atlanta needing another strong finish from their quarterback.
Ryan obliged by a leading a six-play, 64-yard march that Michael Turner finished with a 3-yard TD run that put the NFC South leaders ahead for good with 7:55 remaining.
Connor Barth missed a 56-yard goal for Tampa Bay (6-5) in the closing minutes, and the winning streak that's helped the Bucs climb back into playoff contention following a slow start ended when Josh Freeman's desperation pass fell incomplete in the end zone on the final play.
"The last drive, that's something we've done before this season," Falcons tight end Tony Gonzalez said. "I really think that's a positive for us to be able to come up with plays like that when we have to . . . I'm really happy with the way we responded."
It's getting to be a way of life. Ryan has also led late marches to beat Carolina, Washington, Oakland and Arizona this season and has put together game-winning drives in the fourth quarter or overtime since entering the league in 2008 - four of them against the division-rival Bucs.
Atlanta won't have long to celebrate this one. It hosts New Orleans Thursday night in a rematch of the only game they've lost.
"Ten-and-1 is great, but I'll tell you what I've said since the beginning of the season: We're just jockeying for position," Gonzalez said. "We just want to put ourselves in the best position, playing the best football. Right around this time is when you want to start gelling as a team and take it on into the playoffs because that's the most important thing."
The win stopped the Bucs, who have won five of seven following a 1-3 start, from tightening the NFC South standings.
Doug Martin scored on a pair of 1-yard run for the Bucs, however the rookie who began the day leading the NFL in total yards from scrimmage was limited to 50 yards rushing on 21 carries.
Ryan completed 26 of 32 passes, including four straight on the drive that Turner finished with his TD run.