The home side were out on defense first but that did not stop them from scoring first as Mike Glennon was sacked by William Moore and fumbled the ball and Thomas Decoud picked it up and ran it in for a 27-yard touchdown.
It got better for the Falcons soon after they extended their lead, this time through the offensive side of the ball. Matt Ryan drove his depleted offense down the field but still managed to find away to the end zone as he hit running back Jacquizz Rodgers on a swing pass for a 19-yard score.
However, the Buccaneers and their rookie quarterback Glennon fought back with a deep strike to receiver Vincent Jackson as he faked the handoff to Doug Martin and fired down the right-hand sideline for his receiver who beat Asante Samuel in coverage to go in for a 59-yard score.
The Falcons re-established their dominance as the moved downfield with ease again but this time they were stopped and were forced to settle for three points from the boot of Matt Bryant.
Ryan soon got his side in the end zone again when he hit Harry Douglas, stepping up for the injured Roddy White and Julio Jones, for a 37-yard strike down the middle of the field.
Just before the break, the Buccaneers cut the deficit to 14 points as Rian Lindell knocked a 36-yard field goal through the posts.