Babineaux started all 16 games in the 2012 season and recorded 3.5 sacks, 31 total tackles, and one interception. In the 2013 season, he recorded 42 total tackles and one sack. He signed a three-year, $9 million contract extension with the Falcons on March 11, 2014. In the 2014 season, he recorded 31 total tackles and two sacks. In the 2015 season, he recorded 30 total tackles, 1.5 sacks, and one interception. In the 2016 season, he recorded 22 total tackles.